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Silbermann, Bernd

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Author ID: silbermann.bernd Recent zbMATH articles by "Silbermann, Bernd"
Published as: Silbermann, B.; Silbermann, Bernd
Homepage: https://www.tu-chemnitz.de/mathematik/professuren/emeriti/silbermann/
External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate · dblp · GND
Documents Indexed: 239 Publications since 1970, including 26 Books
Biographic References: 2 Publications
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Serials

31 Mathematische Nachrichten
20 Integral Equations and Operator Theory
13 Linear Algebra and its Applications
9 Wissenschaftliche Zeitschrift der Technischen Hochschule Karl-Marx-Stadt
8 Journal of Functional Analysis
6 Zeitschrift für Analysis und ihre Anwendungen
6 Operator Theory: Advances and Applications
4 Numerical Functional Analysis and Optimization
4 Journal of Integral Equations and Applications
3 Applicable Analysis
3 Bulletin of the London Mathematical Society
3 Demonstratio Mathematica
3 Journal of Computational and Applied Mathematics
3 Soviet Mathematics. Doklady
3 Journal of Operator Theory
2 Czechoslovak Mathematical Journal
2 Acta Applicandae Mathematicae
2 SIAM Journal on Matrix Analysis and Applications
2 Indagationes Mathematicae. New Series
2 Methods of Functional Analysis and Topology
2 Seminar Analysis. Operator Equations and Numerical Analysis
2 Complex Analysis and Operator Theory
2 Operators and Matrices
2 Universitext
1 Journal of Mathematical Analysis and Applications
1 Mathematical Methods in the Applied Sciences
1 Revue Roumaine de Mathématiques Pures et Appliquées
1 Studia Mathematica
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematics of Computation
1 Archiv der Mathematik
1 Calcolo
1 Functional Analysis and its Applications
1 Journal of Approximation Theory
1 Journal of Soviet Mathematics
1 Numerische Mathematik
1 Proceedings of the London Mathematical Society. Third Series
1 Publications de l’Institut Mathématique. Nouvelle Série
1 SIAM Journal on Numerical Analysis
1 Applied Numerical Mathematics
1 Facta Universitatis. Series Mathematics and Informatics
1 Asymptotic Analysis
1 Algebra i Analiz
1 SIAM Journal on Mathematical Analysis
1 St. Petersburg Mathematical Journal
1 Memoirs on Differential Equations and Mathematical Physics
1 The New York Journal of Mathematics
1 Methods and Applications of Analysis
1 Advances in Computational Mathematics
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Annales Academiae Scientiarum Fennicae. Mathematica
1 Vychislitel’nye Tekhnologii
1 Mathematische Lehrbücher und Monographien. II. Abteilung: Mathematische Monographien
1 Pure and Applied Mathematics, Marcel Dekker
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 Abhandlungen der Akademie der Wissenschaften der DDR
1 Frontiers in Mathematics
1 Springer Monographs in Mathematics

Publications by Year

Citations contained in zbMATH

167 Publications have been cited 1,917 times in 953 Documents Cited by Year
Introduction to large truncated Toeplitz matrices. Zbl 0916.15012
Böttcher, Albrecht; Silbermann, Bernd
202
1999
Analysis of Toeplitz operators. Prepared jointly with Alexei Karlovich. 2nd ed. Zbl 1098.47002
Böttcher, Albrecht; Silbermann, Bernd
124
2006
Analysis of Toeplitz operators. Lizenzausg. d. Akademie-Verl. Berlin. Zbl 0732.47029
Böttcher, Albrecht; Silbermann, Bernd
124
1990
Numerical analysis for integral and related operator equations. Zbl 0763.65102
Prössdorf, Siegfried; Silbermann, Bernd
93
1991
Limit operators and their applications in operator theory. Zbl 1077.47002
Rabinovich, Vladimir; Roch, Steffen; Silbermann, Bernd
86
2004
\(C^*\)-algebras and numerical analysis. Zbl 0964.65055
Hagen, Roland; Roch, Steffen; Silbermann, Bernd
53
2001
Numerical analysis for integral and related operator equations. Licensed ed. Zbl 0763.65103
Prössdorf, Siegfried; Silbermann, Bernd
52
1991
Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts. Zbl 1209.47002
Roch, Steffen; Santos, Pedro A.; Silbermann, Bernd
42
2011
Fredholm theory and finite section method for band-dominated operators. Zbl 0909.47023
Rabinovich, V. S.; Roch, S.; Silbermann, B.
39
1998
Spectral theory of approximation methods for convolution equations. Zbl 0817.65146
Hagen, Roland; Roch, Steffen; Silbermann, Bernd
39
1994
A fast algorithm for solving the generalized airfoil equation. Zbl 0761.65102
Berthold, D.; Hoppe, W.; Silbermann, B.
39
1992
Toeplitz operators with piecewise quasisectorial symbols. Zbl 0721.47028
Böttcher, A.; Silbermann, B.; Spitkovskij, I. M.
37
1990
Algebras of convolution operators and their image in the Calkin algebra. Zbl 0717.47019
Roch, Steffen; Silbermann, Bernd
37
1990
Lokale Theorie des Reduktionsverfahrens für Toeplitzoperatoren. Zbl 0494.47018
Silbermann, Bernd
36
1981
Projektionsverfahren und die näherungsweise Lösung singulärer Gleichungen. Zbl 0364.65044
Prößdorf, Siegfried; Silbermann, Bernd
35
1977
Invertibility and asymptotics of Toeplitz matrices. Zbl 0578.47015
Böttcher, Albrecht; Silbermann, Bernd
34
1983
Algebras generated by idempotents and the symbol calculus for singular integral operators. Zbl 0658.47050
Roch, Steffen; Silbermann, Bernd
32
1988
Asymptotics of Toeplitz and Wiener-Hopf operators. Zbl 0689.45009
Böttcher, Albrecht; Silbermann, Bernd
27
1989
\(C^*\)-algebra techniques in numerical analysis. Zbl 0865.65035
Roch, Steffen; Silbermann, Bernd
25
1996
Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections. Zbl 1032.47051
Rabinovich, V. S.; Roch, S.; Silbermann, B.
24
2001
Toeplitz matrices and determinants with Fisher-Hartwig symbols. Zbl 0592.47016
Böttcher, Albrecht; Silbermann, Bernd
24
1985
Zur Theorie der Näherungsverfahren für singuläre Integralgleichungen auf Intervallen. Zbl 0494.65074
Junghanns, Peter; Silbermann, Bernd
23
1981
Banach algebras generated by \(N\) idempotents and applications. Zbl 0885.46041
Böttcher, A.; Gohberg, I.; Karlovich, Yu.; Krupnik, N.; Roch, S.; Silbermann, B.; Spitkovsky, I.
21
1996
Two projection theorems and symbol calculus for operators with massive local spectra. Zbl 0812.47029
Finck, T.; Roch, S.; Silbermann, B.
20
1993
Norms of inverses, spectra, and pseudospectra of large truncated Wiener-Hopf operators and Toeplitz matrices. Zbl 0887.47025
Boettcher, A.; Grudsky, S. M.; Silbermann, B.
19
1997
Toeplitz operators and determinants generated by symbols with one Fisher- Hartwig singularity. Zbl 0613.47024
Böttcher, Albrecht; Silbermann, Bernd
18
1986
Toeplitz determinants with one Fisher-Hartwig singularity. Zbl 0909.47019
Ehrhardt, Torsten; Silbermann, Bernd
14
1997
Logarithmic residues in Banach algebras. Zbl 0811.46043
Bart, H.; Ehrhardt, T.; Silbermann, B.
14
1994
On \(C^*\)-algebras generated by idempotents. Zbl 0902.46032
Krupnik, Naum; Roch, Steffen; Silbermann, Bernd
13
1996
Approximation methods for singular integral equations with conjugation on curves with corners. Zbl 0841.65129
Didenko, V. D.; Roch, S.; Silbermann, B.
13
1995
The asymptotic behavior of Toeplitz determinants for generating functions with zeros of integral orders. Zbl 0479.47025
Boettcher, Albrecht; Silbermann, Bernd
12
1981
Banach algebras of operator sequences. Zbl 1262.47021
Seidel, M.; Silbermann, B.
11
2012
On finite sections of band-dominated operators. Zbl 1167.47015
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
11
2008
Logarithmic residues of Fredholm operator valued functions and sums of finite rank projections. Zbl 1051.30046
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
11
2002
Sums of idempotents and logarithmic residues in matrix algebras. Zbl 1047.46037
Bart, H.; Ehrhardt, T.; Silbermann, B.
11
2001
Continuity of generalized inverses in Banach algebras. Zbl 0962.47002
Roch, Steffen; Silbermann, Bernd
11
1999
Zero sums of idempotents in Banach algebras. Zbl 0811.46042
Bart, H.; Ehrhardt, T.; Silbermann, B.
11
1994
Non-strongly converging approximation methods. Zbl 0696.65055
Roch, Steffen; Silbermann, Bernd
11
1989
Numerical analysis of the quadrature method for solving linear and nonlinear singular integral equations. Zbl 0664.65126
Junghanns, Peter; Silbermann, Bernd
11
1988
The finite section method for Toeplitz operators on the quarter-plane with piecewise continuous symbols. Zbl 0549.47010
Böttcher, Albrecht; Silbermann, Bernd
11
1983
Toeplitz operators with symbols from \(C+H^{\infty}\) in the space \(\ell ^ p\). Zbl 0666.47016
Böttcher, A.; Silbermann, B.
10
1989
A general look at local principles with special emphasis on the norm computation aspect. Zbl 0655.46036
Böttcher, A.; Krupnik, N.; Silbermann, B.
10
1988
Approximation of additive convolution-like operators. Real C*-algebra approach. Zbl 1160.65002
Didenko, Victor D.; Silbermann, Bernd
9
2008
The \(C^ *\)-algebra generated by Toeplitz and Hankel operators with piecewise quasicontinuous symbols. Zbl 0647.47037
Silbermann, Bernd
9
1987
Local theory of the collocation method for the approximate solution of singular integral equations. I. Zbl 0558.65095
Junghanns, Peter; Silbermann, Bernd
9
1984
Lokale Theorie des Reduktionsverfahrens für singuläre Integralgleichungen. Zbl 0522.45010
Silbermann, B.
9
1982
Finite sections of band-dominated operators – norms, condition numbers and pseudospectra. Zbl 1280.47022
Seidel, Markus; Silbermann, Bernd
8
2013
Asymptotic behavior of generalized convolutions: an algebraic approach. Zbl 1149.47020
Silbermann, Bernd; Zabroda, Olga
8
2006
Numerical analysis for one-dimensional Cauchy singular integral equations. Zbl 0978.65125
Junghanns, Peter; Silbermann, Bernd
8
2000
Index calculus for approximation methods and singular value decomposition. Zbl 0923.65026
Roch, Steffen; Silbermann, Bernd
8
1998
Logarithmic residues, generalized idempotents, and sums of idempotents in Banach algebras. Zbl 0894.46038
Bart, H.; Ehrhardt, T.; Silbermann, B.
8
1997
A Banach algebra approach to the stability of projection methods for singular integral equations. Zbl 0677.65136
Hagen, Roland; Silbermann, Bernd
8
1989
Notes on the asymptotic behavior of block Toeplitz matrices and determinants. Zbl 0468.47016
Böttcher, Albrecht; Silbermann, Bernd
8
1980
Banach algebras of structured matrix sequences. Zbl 1161.47010
Seidel, Markus; Silbermann, Bernd
7
2009
Toeplitz operators with symbols generated by slowly oscillating and semi-almost periodic matrix functions. Zbl 1081.47032
Bastos, M. A.; Karlovich, Yu. I.; Silbermann, B.
7
2004
Finite section method in some algebras of multiplication and convolution operators and a flip. Zbl 0887.65141
Roch, S.; Santos, P. A.; Silbermann, B.
7
1997
The numerical solution of the generalized airfoil equation. Zbl 0762.65091
Berthold, D.; Hoppe, W.; Silbermann, B.
7
1992
A Gohberg-Kurpnik-Sarason symbol calculus for algebras of Toeplitz, Hankel, Cauchy and Carleman operators. Zbl 0727.47037
Böttcher, A.; Roch, S.; Silbermann, B.; Spitkovskii, I. M.
7
1990
A sequence algebra of finite sections, convolution, and multiplication operators on \(L^{P}(\mathbb R)\). Zbl 1197.65055
Roch, Steffen; Santos, Pedro A.; Silbermann, Bernd
6
2010
Banach algebras of operator sequences: approximation numbers. Zbl 1164.47070
Rogozhin, A.; Silbermann, B.
6
2007
Fredholmness of singular integral operators with discrete subexponential groups of shifts on Lebesgue spaces. Zbl 1073.47049
Karlovich, Yuri; Silbermann, Bernd
6
2004
On stability of approximation methods for the Muskhelishvili equation. Zbl 1016.65108
Didenko, V. D.; Silbermann, B.
6
2002
Logarithmic residues of analytic Banach algebra valued functions possessing a simply meromorphic inverse. Zbl 1014.46019
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
6
2002
Algebras of approximation sequences: Finite sections of band-dominated operators. Zbl 0996.47039
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
6
2001
Collocation methods for systems of Cauchy singular integral equations on an interval. Zbl 0969.65118
Junghanns, P.; Roch, S.; Silbermann, B.
6
2001
On the limiting set of singular values of Toeplitz matrices. Zbl 0778.15013
Silbermann, Bernd
6
1993
Symbol construction and numerical analysis. Zbl 0757.65149
Silbermann, B.
6
1991
Local objects in the theory of Toeplitz operators. Zbl 0609.47038
Silbermann, Bernd
6
1986
Toeplitz-like operators, quasicommutator ideals, numerical analysis. I. Zbl 0582.47028
Roch, Steffen; Silbermann, Bernd
6
1985
Some results on the invertibility of Toeplitz plus Hankel operators. Zbl 1304.47037
Didenko, Victor D.; Silbermann, Bernd
5
2014
Zero sums of idempotents and Banach algebras failing to be spectrally regular. Zbl 1291.46048
Bart, H.; Ehrhardt, T.; Silbermann, B.
5
2013
Index calculation for Toeplitz plus Hankel operators with piecewise quasi-continuous generating functions. Zbl 1280.47038
Didenko, V. D.; Silbermann, B.
5
2013
A handy formula for the Fredholm index of Toeplitz plus Hankel operators. Zbl 1272.47041
Roch, Steffen; Silbermann, Bernd
5
2012
Spectral regularity of Banach algebras and non-commutative Gelfand theory. Zbl 1268.30040
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
5
2012
Trace conditions for regular spectral behavior of vector-valued analytic functions. Zbl 1188.47014
Bart, H.; Ehrhardt, T.; Silbermann, B.
5
2009
Szegő limit theorems for operators with almost periodic diagonals. Zbl 1122.47025
Roch, Steffen; Silbermann, Bernd
5
2007
Finite sections of band-dominated operators with almost periodic coefficients. Zbl 1114.65057
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
5
2006
Logarithmic residues in the Banach algebra generated by the compact operators and the identity. Zbl 1069.47015
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
5
2004
Approximate identities and stability of discrete convolution operators with flip. Zbl 0938.45011
Ehrhardt, Torsten; Silbermann, Bernd
5
1999
The Calkin image of algebras of singular integral operators. Zbl 0702.47014
Roch, Steffen; Silbermann, Bernd
5
1989
A symbol calculus for finite sections of singular integral operators with shift and piecewise continuous coefficients. Zbl 0644.45002
Roch, Steffen; Silbermann, Bernd
5
1988
Sums of idempotents and logarithmic residues in zero pattern matrix algebras. Zbl 1334.15039
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
4
2016
Structure of kernels and cokernels of Toeplitz plus Hankel operators. Zbl 1314.47041
Didenko, Victor D.; Silbermann, Bernd
4
2014
The finite sections approach to the index formula for band-dominated operators. Zbl 1166.47017
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
4
2009
Asymptotic Moore-Penrose inversion of Toeplitz operators. Zbl 0880.15002
Silbermann, Bernd
4
1997
Asymptotic Moore-Penrose invertibility of singular integral operators. Zbl 0860.65145
Roch, Steffen; Silbermann, Bernd
4
1996
Singular integral equations with PQC coefficients and freely transformed argument. Zbl 0832.45001
Böttcher, A.; Karlovich, Yu. I.; Silbermann, B.
4
1994
Stability of spline approximation methods for multidimensional pseudodifferential operators. Zbl 0804.65141
Hagen, R.; Roch, S.; Silbermann, B.
4
1994
Toeplitz-like operators, quasicommutator ideals, numerical analysis. II. Zbl 0673.47024
Roch, Steffen; Silbermann, Bernd
4
1987
Sequences of variable-coefficient Toeplitz matrices and their singular values. Zbl 1330.47032
Mascarenhas, H.; Silbermann, B.
3
2016
Logarithmic residues, Rouché’s theorem, and spectral regularity: The \(C^{\ast}\)-algebra case. Zbl 1279.47028
Bart, H.; Ehrhardt, T.; Silbermann, B.
3
2012
Finite sections of band-dominated operators: \(l^p\)-theory. Zbl 1191.47038
Seidel, Markus; Silbermann, Bernd
3
2008
On the approximation numbers for the finite sections of block Toeplitz matrices. Zbl 1097.47030
Rogozhin, A.; Silbermann, B.
3
2006
Modified finite sections for Toeplitz operators and their singular values. Zbl 1049.47031
Silbermann, Bernd
3
2003
Sums of idempotents in the Banach algebra generated by the compact operators and the identity. Zbl 1042.46021
Bart, H.; Ehrhardt, T.; Silbermann, B.
3
2002
On the decomposition of the identity into a sum of idempotents. Zbl 0980.46036
Ehrhardt, T.; Rabanovich, V.; Samoilenko, Yu.; Silbermann, B.
3
2001
Boundary value problems in domains with peaks. Zbl 0996.47024
Duduchava, R.; Silbermann, B.
3
2000
Convergence speed estimates for the norms of the inverses of large truncated Toeplitz matrices. Zbl 0964.15027
Böttcher, A.; Grudsky, S.; Kozak, A.; Silbermann, B.
3
1999
A note on singular values of Cauchy-Toeplitz matrices. Zbl 0933.15015
Roch, Steffen; Silbermann, Bernd
3
1998
\(C^*\)-algebra techniques – A powerful tool in numerical analysis. Zbl 0902.65087
Silbermann, B.; Hagen, R.; Roch, S.
3
1998
The invertibility of Toeplitz plus Hankel operators with subordinated operators of even index. Zbl 07099570
Didenko, Victor D.; Silbermann, Bernd
1
2019
Unions of rank/trace complete preorders. Zbl 1417.15019
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
1
2019
Kernels of a class of Toeplitz plus Hankel operators with piecewise continuous generating functions. Zbl 1405.47009
Didenko, Victor D.; Silbermann, Bernd
1
2018
Invertibility and inverses of Toeplitz plus Hankel operators. Zbl 1399.47091
Didenko, Victor D.; Silbermann, Bernd
2
2017
Echelon type canonical forms in upper triangular matrix algebras. Zbl 1365.15014
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
1
2017
Sums of idempotents and logarithmic residues in zero pattern matrix algebras. Zbl 1334.15039
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
4
2016
Sequences of variable-coefficient Toeplitz matrices and their singular values. Zbl 1330.47032
Mascarenhas, H.; Silbermann, B.
3
2016
Generalized inverses and solution of equations with Toeplitz plus Hankel operators. Zbl 1394.47034
Didenko, Victor D.; Silbermann, Bernd
2
2016
Rank decomposition in zero pattern matrix algebras. Zbl 1413.15010
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
2
2016
Generalized Toeplitz plus Hankel operators: kernel structure and defect numbers. Zbl 1394.47033
Didenko, Victor D.; Silbermann, Bernd
1
2016
Approximately finite-dimensional Banach algebras are spectrally regular. Zbl 1335.47010
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
2
2015
Some results on the invertibility of Toeplitz plus Hankel operators. Zbl 1304.47037
Didenko, Victor D.; Silbermann, Bernd
5
2014
Structure of kernels and cokernels of Toeplitz plus Hankel operators. Zbl 1314.47041
Didenko, Victor D.; Silbermann, Bernd
4
2014
The Coburn-Simonenko theorem for some classes of Wiener-Hopf plus Hankel operators. Zbl 1349.47041
Didenko, Victor D.; Silbermann, Bernd
2
2014
Finite sections of band-dominated operators – norms, condition numbers and pseudospectra. Zbl 1280.47022
Seidel, Markus; Silbermann, Bernd
8
2013
Zero sums of idempotents and Banach algebras failing to be spectrally regular. Zbl 1291.46048
Bart, H.; Ehrhardt, T.; Silbermann, B.
5
2013
Index calculation for Toeplitz plus Hankel operators with piecewise quasi-continuous generating functions. Zbl 1280.47038
Didenko, V. D.; Silbermann, B.
5
2013
Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Zbl 1255.47001
Karlovich, Yuri I. (ed.); Rodino, Luigi (ed.); Silbermann, Bernd (ed.); Spitkovsky, Ilya M. (ed.)
2
2013
Banach algebras of quasi-triangular operators are spectrally regular. Zbl 1297.47022
Ehrhardt, Torsten; Silbermann, Bernd
1
2013
Corrigendum. Zbl 1271.65090
Roch, Steffen; Santos, Pedro A.; Silbermann, Bernd
1
2013
Banach algebras of operator sequences. Zbl 1262.47021
Seidel, M.; Silbermann, B.
11
2012
A handy formula for the Fredholm index of Toeplitz plus Hankel operators. Zbl 1272.47041
Roch, Steffen; Silbermann, Bernd
5
2012
Spectral regularity of Banach algebras and non-commutative Gelfand theory. Zbl 1268.30040
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
5
2012
Logarithmic residues, Rouché’s theorem, and spectral regularity: The \(C^{\ast}\)-algebra case. Zbl 1279.47028
Bart, H.; Ehrhardt, T.; Silbermann, B.
3
2012
Families of homomorphisms in non-commutative Gelfand theory: comparisons and examples. Zbl 1262.46030
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
2
2012
Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts. Zbl 1209.47002
Roch, Steffen; Santos, Pedro A.; Silbermann, Bernd
42
2011
A strong Szegö-Widom Limit Theorem for operators with almost periodic diagonal. Zbl 1207.47028
Ehrhardt, Torsten; Roch, Steffen; Silbermann, Bernd
2
2011
A sequence algebra of finite sections, convolution, and multiplication operators on \(L^{P}(\mathbb R)\). Zbl 1197.65055
Roch, Steffen; Santos, Pedro A.; Silbermann, Bernd
6
2010
Banach algebras of structured matrix sequences. Zbl 1161.47010
Seidel, Markus; Silbermann, Bernd
7
2009
Trace conditions for regular spectral behavior of vector-valued analytic functions. Zbl 1188.47014
Bart, H.; Ehrhardt, T.; Silbermann, B.
5
2009
The finite sections approach to the index formula for band-dominated operators. Zbl 1166.47017
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
4
2009
Spectral approximation and index for convolution type operators on cones on \(L^{p}(\mathbb {R}^2)\). Zbl 1183.45005
Mascarenhas, H.; Silbermann, B.
2
2009
On finite sections of band-dominated operators. Zbl 1167.47015
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
11
2008
Approximation of additive convolution-like operators. Real C*-algebra approach. Zbl 1160.65002
Didenko, Victor D.; Silbermann, Bernd
9
2008
Finite sections of band-dominated operators: \(l^p\)-theory. Zbl 1191.47038
Seidel, Markus; Silbermann, Bernd
3
2008
Banach algebras of operator sequences: approximation numbers. Zbl 1164.47070
Rogozhin, A.; Silbermann, B.
6
2007
Szegő limit theorems for operators with almost periodic diagonals. Zbl 1122.47025
Roch, Steffen; Silbermann, Bernd
5
2007
Generalized Krein algebras and asymptotics of Toeplitz determinants. Zbl 1144.47311
Böttcher, A.; Karlovich, A.; Silbermann, B.
2
2007
Analysis of Toeplitz operators. Prepared jointly with Alexei Karlovich. 2nd ed. Zbl 1098.47002
Böttcher, Albrecht; Silbermann, Bernd
124
2006
Asymptotic behavior of generalized convolutions: an algebraic approach. Zbl 1149.47020
Silbermann, Bernd; Zabroda, Olga
8
2006
Finite sections of band-dominated operators with almost periodic coefficients. Zbl 1114.65057
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
5
2006
On the approximation numbers for the finite sections of block Toeplitz matrices. Zbl 1097.47030
Rogozhin, A.; Silbermann, B.
3
2006
Approximation numbers for the finite sections of Toeplitz operators with piecewise continuous symbols. Zbl 1101.47018
Rogozhin, A.; Silbermann, B.
2
2006
An approximation theory for operators generated by shifts. Zbl 1111.65049
Santos, Pedro A.; Silbermann, Bernd
2
2006
Fredholm theory and numerical linear algebra. Zbl 1098.47013
Silbermann, Bernd
1
2005
Convolution type operators on cones and their finite sections. Zbl 1074.45004
Mascarenhas, Helena; Silbermann, Bernd
1
2005
Limit operators and their applications in operator theory. Zbl 1077.47002
Rabinovich, Vladimir; Roch, Steffen; Silbermann, Bernd
86
2004
Toeplitz operators with symbols generated by slowly oscillating and semi-almost periodic matrix functions. Zbl 1081.47032
Bastos, M. A.; Karlovich, Yu. I.; Silbermann, B.
7
2004
Fredholmness of singular integral operators with discrete subexponential groups of shifts on Lebesgue spaces. Zbl 1073.47049
Karlovich, Yuri; Silbermann, Bernd
6
2004
Logarithmic residues in the Banach algebra generated by the compact operators and the identity. Zbl 1069.47015
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
5
2004
Modified finite sections for Toeplitz operators and their singular values. Zbl 1049.47031
Silbermann, Bernd
3
2003
An axiomatic approach to stability of approximation sequences. Zbl 1031.65071
Santos, Pedro A.; Silbermann, Bernd
2
2003
How to compute the partial indices of a regular and smooth matrix-valued function? Zbl 1049.47009
Silbermann, Bernd
1
2003
Logarithmic residues of Fredholm operator valued functions and sums of finite rank projections. Zbl 1051.30046
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
11
2002
On stability of approximation methods for the Muskhelishvili equation. Zbl 1016.65108
Didenko, V. D.; Silbermann, B.
6
2002
Logarithmic residues of analytic Banach algebra valued functions possessing a simply meromorphic inverse. Zbl 1014.46019
Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd
6
2002
Sums of idempotents in the Banach algebra generated by the compact operators and the identity. Zbl 1042.46021
Bart, H.; Ehrhardt, T.; Silbermann, B.
3
2002
Local method for nonlocal operators on Banach spaces. Zbl 1041.47005
Karlovich, Yuri; Silbermann, Bernd
2
2002
Spline approximation methods for the biharmonic Dirichlet problem on non-smooth domains. Zbl 1020.65092
Didenko, Victor D.; Silbermann, Bernd
1
2002
\(C^*\)-algebras and numerical analysis. Zbl 0964.65055
Hagen, Roland; Roch, Steffen; Silbermann, Bernd
53
2001
Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections. Zbl 1032.47051
Rabinovich, V. S.; Roch, S.; Silbermann, B.
24
2001
Sums of idempotents and logarithmic residues in matrix algebras. Zbl 1047.46037
Bart, H.; Ehrhardt, T.; Silbermann, B.
11
2001
Algebras of approximation sequences: Finite sections of band-dominated operators. Zbl 0996.47039
Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd
6
2001
Collocation methods for systems of Cauchy singular integral equations on an interval. Zbl 0969.65118
Junghanns, P.; Roch, S.; Silbermann, B.
6
2001
On the decomposition of the identity into a sum of idempotents. Zbl 0980.46036
Ehrhardt, T.; Rabanovich, V.; Samoilenko, Yu.; Silbermann, B.
3
2001
Problems and methods in mathematical physics. The Siegfried Prössdorf memorial volume. Proceedings of the 11th TMP conference, Chemnitz, Germany, March 25–28, 1999. Zbl 0979.00042
Elschner, J. (ed.); Gohberg, I. (ed.); Silbermann, B. (ed.)
1
2001
Numerical analysis for one-dimensional Cauchy singular integral equations. Zbl 0978.65125
Junghanns, Peter; Silbermann, Bernd
8
2000
Boundary value problems in domains with peaks. Zbl 0996.47024
Duduchava, R.; Silbermann, B.
3
2000
Banach algebras generated by two idempotents and one flip. Zbl 1032.46061
Finck, T.; Roch, Steffen; Silbermann, Bernd
2
2000
Galerkin method for Wiener-Hopf operators with piecewise continuous symbol. Zbl 0976.65116
Santos, Pedro A.; Silbermann, Bernd
1
2000
Norms of large Toeplitz band matrices. Zbl 0945.15020
Böttcher, A.; Grudsky, S.; Kozak, A.; Silbermann, B.
1
2000
Introduction to large truncated Toeplitz matrices. Zbl 0916.15012
Böttcher, Albrecht; Silbermann, Bernd
202
1999
Continuity of generalized inverses in Banach algebras. Zbl 0962.47002
Roch, Steffen; Silbermann, Bernd
11
1999
Approximate identities and stability of discrete convolution operators with flip. Zbl 0938.45011
Ehrhardt, Torsten; Silbermann, Bernd
5
1999
Convergence speed estimates for the norms of the inverses of large truncated Toeplitz matrices. Zbl 0964.15027
Böttcher, A.; Grudsky, S.; Kozak, A.; Silbermann, B.
3
1999
Fredholm theory and finite section method for band-dominated operators. Zbl 0909.47023
Rabinovich, V. S.; Roch, S.; Silbermann, B.
39
1998
Index calculus for approximation methods and singular value decomposition. Zbl 0923.65026
Roch, Steffen; Silbermann, Bernd
8
1998
A note on singular values of Cauchy-Toeplitz matrices. Zbl 0933.15015
Roch, Steffen; Silbermann, Bernd
3
1998
\(C^*\)-algebra techniques – A powerful tool in numerical analysis. Zbl 0902.65087
Silbermann, B.; Hagen, R.; Roch, S.
3
1998
An approximate method on non-equidistant partitions for double layer potential equation. Zbl 0889.65140
Didenko, V. D.; Silbermann, B.
1
1998
Norms of inverses, spectra, and pseudospectra of large truncated Wiener-Hopf operators and Toeplitz matrices. Zbl 0887.47025
Boettcher, A.; Grudsky, S. M.; Silbermann, B.
19
1997
Toeplitz determinants with one Fisher-Hartwig singularity. Zbl 0909.47019
Ehrhardt, Torsten; Silbermann, Bernd
14
1997
Logarithmic residues, generalized idempotents, and sums of idempotents in Banach algebras. Zbl 0894.46038
Bart, H.; Ehrhardt, T.; Silbermann, B.
8
1997
Finite section method in some algebras of multiplication and convolution operators and a flip. Zbl 0887.65141
Roch, S.; Santos, P. A.; Silbermann, B.
7
1997
Asymptotic Moore-Penrose inversion of Toeplitz operators. Zbl 0880.15002
Silbermann, Bernd
4
1997
\(C^*\)-algebra techniques in numerical analysis. Zbl 0865.65035
Roch, Steffen; Silbermann, Bernd
25
1996
Banach algebras generated by \(N\) idempotents and applications. Zbl 0885.46041
Böttcher, A.; Gohberg, I.; Karlovich, Yu.; Krupnik, N.; Roch, S.; Silbermann, B.; Spitkovsky, I.
21
1996
On \(C^*\)-algebras generated by idempotents. Zbl 0902.46032
Krupnik, Naum; Roch, Steffen; Silbermann, Bernd
13
1996
Asymptotic Moore-Penrose invertibility of singular integral operators. Zbl 0860.65145
Roch, Steffen; Silbermann, Bernd
4
1996
Asymptotic invertibility of Toeplitz operators. Zbl 0887.47028
Silbermann, Bernd
1
1996
Finite section method for singular integrals with operator-valued PQC-coefficients. Zbl 0891.47017
Ehrhardt, Torsten; Roch, Steffen; Silbermann, Bernd
1
1996
Algebraic techniques in stability analysis for spline approximation methods. Zbl 0882.65041
Silbermann, Bernd
1
1996
The fast solution of periodic pseudodifferential equations. Zbl 0882.65101
Berthold, D.; Silbermann, B.
1
1996
Infinite Toeplitz and Hankel matrices with operator-valued entries. Zbl 0849.47014
Böttcher, Albrecht; Silbermann, Bernd
1
1996
Approximation methods for singular integral equations with conjugation on curves with corners. Zbl 0841.65129
Didenko, V. D.; Roch, S.; Silbermann, B.
13
1995
Corrected collocation methods for periodic pseudodifferential equations. Zbl 0824.65114
Berthold, D.; Silbermann, B.
3
1995
Spectral theory of approximation methods for convolution equations. Zbl 0817.65146
Hagen, Roland; Roch, Steffen; Silbermann, Bernd
39
1994
Logarithmic residues in Banach algebras. Zbl 0811.46043
Bart, H.; Ehrhardt, T.; Silbermann, B.
14
1994
Zero sums of idempotents in Banach algebras. Zbl 0811.46042
Bart, H.; Ehrhardt, T.; Silbermann, B.
11
1994
Singular integral equations with PQC coefficients and freely transformed argument. Zbl 0832.45001
Böttcher, A.; Karlovich, Yu. I.; Silbermann, B.
4
1994
...and 67 more Documents
all top 5

Cited by 805 Authors

71 Silbermann, Bernd
65 Böttcher, Albrecht
36 Karlovich, Yuri I.
36 Roch, Steffen
35 Rabinovich, Vladimir Samuilovich
33 Serra-Capizzano, Stefano
27 Ehrhardt, Torsten
23 Didenko, Victor D.
23 Karlovich, Alexeĭ Yur’evich
22 Grudsky, Sergei Mikhailovich
20 Junghanns, Peter
17 Prössdorf, Siegfried
17 Spitkovsky, Ilya Matvey
15 Basor, Estelle L.
15 Garoni, Carlo
14 Krupnik, Naum Yakovlevich
14 Lindner, Marko
11 Bart, Harm
11 Chandler-Wilde, Simon N.
11 Maksimenko, Egor A.
11 Mastroianni, Giuseppe
11 Santos, Pedro A.
11 Sesana, Debora
10 Seidel, Markus
9 De Bonis, Maria Carmela
9 Lebre, Amarino Brites
9 Rambour, Philippe
8 Capobianco, Maria Rosaria
8 Elschner, Johannes
8 Fernandes, Claudio A.
8 Laurita, Concetta
8 Sharma, Basant Lal
7 Bini, Dario Andrea
7 Bogoya, Johan M.
7 Hagger, Raffael
7 Sayas, Francisco-Javier
7 Vasilevski, Nikolai Leonidovich
7 Wang, Hong
6 Bastos, Maria Amélia
6 Pinheiro de Castro, Luís Filipe
6 Duduchava, Roland
6 Its, Alexander Rudolfovich
6 Meini, Beatrice
6 Rathsfeld, Andreas
6 Seghier, Abdellatif
6 Sloan, Ian Hugh
6 Vainikko, Gennadi M.
5 Boasso, Enrico
5 Câmara, Maria Cristina
5 Donatelli, Marco
5 Garcia, Stephan Ramon
5 Monegato, Giovanni
5 Ramírez de Arellano, Enrique
5 Sakhnovich, Alexander L.
5 Tierz, Miguel
5 Van der Mee, Cornelis Victor Maria
5 Wendland, Wolfgang L.
5 Widom, Harold
4 Berthold, Dietmar
4 Chen, Yang
4 Claeys, Tom
4 Criscuolo, Giuliana
4 Deundyak, Vladimir Mikhaĭlovich
4 Domínguez, Víctor
4 Forrester, Peter J.
4 Gatica, Gabriel N.
4 Georgescu, Vladimir
4 Gil’, Michael Iosif
4 Hansen, Anders C.
4 Hohage, Thorsten
4 Hwang, In Sung
4 Krasovsky, Igor V.
4 Kress, Rainer
4 Krutitskii, Pavel A.
4 Kulkarni, S. H.
4 Luther, Uwe
4 Manni, Carla
4 Mascarenhas, Helena
4 Rodriguez, Giuseppe
4 Russo, Maria Grazia
4 Schmidt, Gunther
4 Speleers, Hendrik
4 Strohmer, Thomas
4 ter Horst, Sanne
4 Timotin, Dan
4 Wolf, Hartmut
4 Zheng, Dechao
3 Aschbacher, Walter H.
3 Batalshchikov, A. A.
3 Berkani, Mohammed
3 Butzer, Paul Leo
3 Cai, Haotao
3 Carey, Richard W.
3 Chanzy, Jean
3 Cuminato, José Alberto
3 Curto, Raúl Enrique
3 Deift, Percy A.
3 Delvaux, Steven
3 Dhara, Kousik
3 Di Pierro, Alessandra
...and 705 more Authors
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Cited in 200 Serials

102 Integral Equations and Operator Theory
95 Linear Algebra and its Applications
44 Journal of Computational and Applied Mathematics
40 Journal of Integral Equations and Applications
39 Journal of Mathematical Analysis and Applications
37 Journal of Functional Analysis
32 Mathematische Nachrichten
20 Numerische Mathematik
19 Mathematics of Computation
16 Numerical Functional Analysis and Optimization
14 Journal of Approximation Theory
14 Complex Analysis and Operator Theory
12 Applied Mathematics and Computation
11 Communications in Mathematical Physics
11 Transactions of the American Mathematical Society
11 Zeitschrift für Analysis und ihre Anwendungen
10 Indagationes Mathematicae. New Series
9 Journal of Statistical Physics
8 Applied Numerical Mathematics
8 Numerical Algorithms
8 Journal of Mathematical Sciences (New York)
7 Functional Analysis and its Applications
6 Mathematical Notes
6 Automatica
6 Calcolo
6 Proceedings of the American Mathematical Society
6 Bulletin des Sciences Mathématiques
6 Boletín de la Sociedad Matemática Mexicana. Third Series
6 Journal of Spectral Theory
5 Journal of Computational Physics
5 Letters in Mathematical Physics
5 Mathematical Methods in the Applied Sciences
5 The Journal of Fourier Analysis and Applications
5 Doklady Mathematics
5 Complex Variables and Elliptic Equations
4 Applicable Analysis
4 Computer Methods in Applied Mechanics and Engineering
4 Journal of Mathematical Physics
4 Nuclear Physics. B
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Advances in Mathematics
4 The Annals of Probability
4 Duke Mathematical Journal
4 Journal of Soviet Mathematics
4 Mathematische Zeitschrift
4 Systems & Control Letters
4 Constructive Approximation
4 SIAM Journal on Applied Mathematics
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Russian Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Mediterranean Journal of Mathematics
4 Journal of Statistical Mechanics: Theory and Experiment
3 Computers & Mathematics with Applications
3 Communications on Pure and Applied Mathematics
3 Reviews in Mathematical Physics
3 The Annals of Statistics
3 Czechoslovak Mathematical Journal
3 Journal of Combinatorial Theory. Series A
3 Memoirs of the American Mathematical Society
3 Journal of the American Mathematical Society
3 Journal of Scientific Computing
3 Advances in Computational Mathematics
3 Sbornik: Mathematics
3 Communications in Mathematical Analysis
3 Probability Surveys
3 Functional Analysis, Approximation and Computation
3 Concrete Operators
2 Communications in Algebra
2 Journal d’Analyse Mathématique
2 Linear and Multilinear Algebra
2 Ukrainian Mathematical Journal
2 Journal of Geometry and Physics
2 BIT
2 Computing
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Algebra
2 Journal of Econometrics
2 Mathematische Annalen
2 Monatshefte für Mathematik
2 Quarterly of Applied Mathematics
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 SIAM Journal on Numerical Analysis
2 Theoretical Computer Science
2 Statistics & Probability Letters
2 Acta Applicandae Mathematicae
2 Probability Theory and Related Fields
2 Journal of Complexity
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Bulletin of the American Mathematical Society. New Series
2 Russian Journal of Mathematical Physics
2 St. Petersburg Mathematical Journal
2 ETNA. Electronic Transactions on Numerical Analysis
2 ELA. The Electronic Journal of Linear Algebra
2 Mathematical Physics, Analysis and Geometry
2 Annales Henri Poincaré
2 Differential Equations
2 Advances in Difference Equations
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Banach Journal of Mathematical Analysis
...and 100 more Serials
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Cited in 54 Fields

490 Operator theory (47-XX)
303 Numerical analysis (65-XX)
222 Integral equations (45-XX)
206 Linear and multilinear algebra; matrix theory (15-XX)
142 Functional analysis (46-XX)
130 Partial differential equations (35-XX)
61 Harmonic analysis on Euclidean spaces (42-XX)
56 Functions of a complex variable (30-XX)
44 Probability theory and stochastic processes (60-XX)
41 Approximations and expansions (41-XX)
35 Statistical mechanics, structure of matter (82-XX)
33 Quantum theory (81-XX)
28 Ordinary differential equations (34-XX)
28 Fluid mechanics (76-XX)
22 Mechanics of deformable solids (74-XX)
21 Statistics (62-XX)
21 Systems theory; control (93-XX)
15 Associative rings and algebras (16-XX)
14 Integral transforms, operational calculus (44-XX)
13 Special functions (33-XX)
13 Optics, electromagnetic theory (78-XX)
12 Information and communication theory, circuits (94-XX)
11 Several complex variables and analytic spaces (32-XX)
11 Difference and functional equations (39-XX)
8 Combinatorics (05-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Potential theory (31-XX)
7 Abstract harmonic analysis (43-XX)
7 Computer science (68-XX)
6 Dynamical systems and ergodic theory (37-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
5 Topological groups, Lie groups (22-XX)
4 Number theory (11-XX)
4 \(K\)-theory (19-XX)
4 General topology (54-XX)
4 Operations research, mathematical programming (90-XX)
3 Field theory and polynomials (12-XX)
3 Nonassociative rings and algebras (17-XX)
3 Group theory and generalizations (20-XX)
3 Real functions (26-XX)
3 Measure and integration (28-XX)
3 Differential geometry (53-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Algebraic geometry (14-XX)
2 Sequences, series, summability (40-XX)
2 Convex and discrete geometry (52-XX)
2 Algebraic topology (55-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Biology and other natural sciences (92-XX)
1 General and overarching topics; collections (00-XX)
1 Commutative algebra (13-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)

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