Edit Profile Silbermann, Bernd Compute Distance To: Compute Author ID: 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 all top 5 Co-Authors 41 single-authored 52 Roch, Steffen 33 Böttcher, Albrecht 27 Ehrhardt, Torsten 24 Didenko, Victor D. 20 Bart, Harm 19 Prössdorf, Siegfried 8 Hagen, Roland 7 Junghanns, Peter 7 Rabinovich, Vladimir Samuilovich 7 Santos, Pedro A. 6 Karlovich, Yuri I. 5 Berthold, Dietmar 4 Gohberg, Israel 4 Grudsky, Sergei Mikhailovich 4 Krupnik, Naum Yakovlevich 4 Mascarenhas, Helena 4 Rogozhin, Alexander 4 Seidel, Markus 4 Spitkovsky, Ilya Matvey 2 Bastos, Maria Amélia 2 Elschner, Johannes 2 Finck, Tilo 2 Heinig, Georg 2 Hoppe, Wolfram 2 Karlovich, Alexeĭ Yur’evich 2 Köhler, Uwe 2 Kozak, A. V. 2 Widom, Harold 1 André, Carlos Alberto Martins 1 Duduchava, Roland 1 Friedrich, Volkmar 1 Kuhnert, Frieder 1 Lee, Seng Luan 1 Lindner, Marko 1 Meyer, Christian 1 Rabanovich, Vyacheslav 1 Rodino, Luigi 1 Rost, Karla 1 Samoĭlenko, Yuriĭ Stefanovych 1 Schneider, Manfred Friedrich 1 Schulze, Horst 1 Vasil’ev, Vladimir Andreevich 1 Zaballa, Ion 1 Zabroda, Olga all top 5 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 all top 5 Fields 177 Operator theory (47-XX) 91 Numerical analysis (65-XX) 85 Integral equations (45-XX) 46 Functional analysis (46-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 13 Functions of a complex variable (30-XX) 13 Partial differential equations (35-XX) 10 General and overarching topics; collections (00-XX) 5 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Fluid mechanics (76-XX) 3 Associative rings and algebras (16-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Mechanics of deformable solids (74-XX) 2 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-XX) 1 Number theory (11-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 0916.15012Böttcher, Albrecht; Silbermann, Bernd 202 1999 Analysis of Toeplitz operators. Prepared jointly with Alexei Karlovich. 2nd ed. Zbl 1098.47002Böttcher, Albrecht; Silbermann, Bernd 124 2006 Analysis of Toeplitz operators. Lizenzausg. d. Akademie-Verl. Berlin. Zbl 0732.47029Böttcher, Albrecht; Silbermann, Bernd 124 1990 Numerical analysis for integral and related operator equations. Zbl 0763.65102Prössdorf, Siegfried; Silbermann, Bernd 93 1991 Limit operators and their applications in operator theory. Zbl 1077.47002Rabinovich, Vladimir; Roch, Steffen; Silbermann, Bernd 86 2004 \(C^*\)-algebras and numerical analysis. Zbl 0964.65055Hagen, Roland; Roch, Steffen; Silbermann, Bernd 53 2001 Numerical analysis for integral and related operator equations. Licensed ed. Zbl 0763.65103Prössdorf, Siegfried; Silbermann, Bernd 52 1991 Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts. Zbl 1209.47002Roch, Steffen; Santos, Pedro A.; Silbermann, Bernd 42 2011 Fredholm theory and finite section method for band-dominated operators. Zbl 0909.47023Rabinovich, V. S.; Roch, S.; Silbermann, B. 39 1998 Spectral theory of approximation methods for convolution equations. Zbl 0817.65146Hagen, Roland; Roch, Steffen; Silbermann, Bernd 39 1994 A fast algorithm for solving the generalized airfoil equation. Zbl 0761.65102Berthold, D.; Hoppe, W.; Silbermann, B. 39 1992 Toeplitz operators with piecewise quasisectorial symbols. Zbl 0721.47028Böttcher, A.; Silbermann, B.; Spitkovskij, I. M. 37 1990 Algebras of convolution operators and their image in the Calkin algebra. Zbl 0717.47019Roch, Steffen; Silbermann, Bernd 37 1990 Lokale Theorie des Reduktionsverfahrens für Toeplitzoperatoren. Zbl 0494.47018Silbermann, Bernd 36 1981 Projektionsverfahren und die näherungsweise Lösung singulärer Gleichungen. Zbl 0364.65044Prößdorf, Siegfried; Silbermann, Bernd 35 1977 Invertibility and asymptotics of Toeplitz matrices. Zbl 0578.47015Böttcher, Albrecht; Silbermann, Bernd 34 1983 Algebras generated by idempotents and the symbol calculus for singular integral operators. Zbl 0658.47050Roch, Steffen; Silbermann, Bernd 32 1988 Asymptotics of Toeplitz and Wiener-Hopf operators. Zbl 0689.45009Böttcher, Albrecht; Silbermann, Bernd 27 1989 \(C^*\)-algebra techniques in numerical analysis. Zbl 0865.65035Roch, Steffen; Silbermann, Bernd 25 1996 Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections. Zbl 1032.47051Rabinovich, V. S.; Roch, S.; Silbermann, B. 24 2001 Toeplitz matrices and determinants with Fisher-Hartwig symbols. Zbl 0592.47016Böttcher, Albrecht; Silbermann, Bernd 24 1985 Zur Theorie der Näherungsverfahren für singuläre Integralgleichungen auf Intervallen. Zbl 0494.65074Junghanns, Peter; Silbermann, Bernd 23 1981 Banach algebras generated by \(N\) idempotents and applications. Zbl 0885.46041Böttcher, 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 0812.47029Finck, T.; Roch, S.; Silbermann, B. 20 1993 Norms of inverses, spectra, and pseudospectra of large truncated Wiener-Hopf operators and Toeplitz matrices. Zbl 0887.47025Boettcher, A.; Grudsky, S. M.; Silbermann, B. 19 1997 Toeplitz operators and determinants generated by symbols with one Fisher- Hartwig singularity. Zbl 0613.47024Böttcher, Albrecht; Silbermann, Bernd 18 1986 Toeplitz determinants with one Fisher-Hartwig singularity. Zbl 0909.47019Ehrhardt, Torsten; Silbermann, Bernd 14 1997 Logarithmic residues in Banach algebras. Zbl 0811.46043Bart, H.; Ehrhardt, T.; Silbermann, B. 14 1994 On \(C^*\)-algebras generated by idempotents. Zbl 0902.46032Krupnik, Naum; Roch, Steffen; Silbermann, Bernd 13 1996 Approximation methods for singular integral equations with conjugation on curves with corners. Zbl 0841.65129Didenko, V. D.; Roch, S.; Silbermann, B. 13 1995 The asymptotic behavior of Toeplitz determinants for generating functions with zeros of integral orders. Zbl 0479.47025Boettcher, Albrecht; Silbermann, Bernd 12 1981 Banach algebras of operator sequences. Zbl 1262.47021Seidel, M.; Silbermann, B. 11 2012 On finite sections of band-dominated operators. Zbl 1167.47015Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd 11 2008 Logarithmic residues of Fredholm operator valued functions and sums of finite rank projections. Zbl 1051.30046Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 11 2002 Sums of idempotents and logarithmic residues in matrix algebras. Zbl 1047.46037Bart, H.; Ehrhardt, T.; Silbermann, B. 11 2001 Continuity of generalized inverses in Banach algebras. Zbl 0962.47002Roch, Steffen; Silbermann, Bernd 11 1999 Zero sums of idempotents in Banach algebras. Zbl 0811.46042Bart, H.; Ehrhardt, T.; Silbermann, B. 11 1994 Non-strongly converging approximation methods. Zbl 0696.65055Roch, Steffen; Silbermann, Bernd 11 1989 Numerical analysis of the quadrature method for solving linear and nonlinear singular integral equations. Zbl 0664.65126Junghanns, Peter; Silbermann, Bernd 11 1988 The finite section method for Toeplitz operators on the quarter-plane with piecewise continuous symbols. Zbl 0549.47010Böttcher, Albrecht; Silbermann, Bernd 11 1983 Toeplitz operators with symbols from \(C+H^{\infty}\) in the space \(\ell ^ p\). Zbl 0666.47016Böttcher, A.; Silbermann, B. 10 1989 A general look at local principles with special emphasis on the norm computation aspect. Zbl 0655.46036Böttcher, A.; Krupnik, N.; Silbermann, B. 10 1988 Approximation of additive convolution-like operators. Real C*-algebra approach. Zbl 1160.65002Didenko, Victor D.; Silbermann, Bernd 9 2008 The \(C^ *\)-algebra generated by Toeplitz and Hankel operators with piecewise quasicontinuous symbols. Zbl 0647.47037Silbermann, Bernd 9 1987 Local theory of the collocation method for the approximate solution of singular integral equations. I. Zbl 0558.65095Junghanns, Peter; Silbermann, Bernd 9 1984 Lokale Theorie des Reduktionsverfahrens für singuläre Integralgleichungen. Zbl 0522.45010Silbermann, B. 9 1982 Finite sections of band-dominated operators – norms, condition numbers and pseudospectra. Zbl 1280.47022Seidel, Markus; Silbermann, Bernd 8 2013 Asymptotic behavior of generalized convolutions: an algebraic approach. Zbl 1149.47020Silbermann, Bernd; Zabroda, Olga 8 2006 Numerical analysis for one-dimensional Cauchy singular integral equations. Zbl 0978.65125Junghanns, Peter; Silbermann, Bernd 8 2000 Index calculus for approximation methods and singular value decomposition. Zbl 0923.65026Roch, Steffen; Silbermann, Bernd 8 1998 Logarithmic residues, generalized idempotents, and sums of idempotents in Banach algebras. Zbl 0894.46038Bart, H.; Ehrhardt, T.; Silbermann, B. 8 1997 A Banach algebra approach to the stability of projection methods for singular integral equations. Zbl 0677.65136Hagen, Roland; Silbermann, Bernd 8 1989 Notes on the asymptotic behavior of block Toeplitz matrices and determinants. Zbl 0468.47016Böttcher, Albrecht; Silbermann, Bernd 8 1980 Banach algebras of structured matrix sequences. Zbl 1161.47010Seidel, Markus; Silbermann, Bernd 7 2009 Toeplitz operators with symbols generated by slowly oscillating and semi-almost periodic matrix functions. Zbl 1081.47032Bastos, M. A.; Karlovich, Yu. I.; Silbermann, B. 7 2004 Finite section method in some algebras of multiplication and convolution operators and a flip. Zbl 0887.65141Roch, S.; Santos, P. A.; Silbermann, B. 7 1997 The numerical solution of the generalized airfoil equation. Zbl 0762.65091Berthold, D.; Hoppe, W.; Silbermann, B. 7 1992 A Gohberg-Kurpnik-Sarason symbol calculus for algebras of Toeplitz, Hankel, Cauchy and Carleman operators. Zbl 0727.47037Böttcher, 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 1197.65055Roch, Steffen; Santos, Pedro A.; Silbermann, Bernd 6 2010 Banach algebras of operator sequences: approximation numbers. Zbl 1164.47070Rogozhin, A.; Silbermann, B. 6 2007 Fredholmness of singular integral operators with discrete subexponential groups of shifts on Lebesgue spaces. Zbl 1073.47049Karlovich, Yuri; Silbermann, Bernd 6 2004 On stability of approximation methods for the Muskhelishvili equation. Zbl 1016.65108Didenko, V. D.; Silbermann, B. 6 2002 Logarithmic residues of analytic Banach algebra valued functions possessing a simply meromorphic inverse. Zbl 1014.46019Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 6 2002 Algebras of approximation sequences: Finite sections of band-dominated operators. Zbl 0996.47039Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd 6 2001 Collocation methods for systems of Cauchy singular integral equations on an interval. Zbl 0969.65118Junghanns, P.; Roch, S.; Silbermann, B. 6 2001 On the limiting set of singular values of Toeplitz matrices. Zbl 0778.15013Silbermann, Bernd 6 1993 Symbol construction and numerical analysis. Zbl 0757.65149Silbermann, B. 6 1991 Local objects in the theory of Toeplitz operators. Zbl 0609.47038Silbermann, Bernd 6 1986 Toeplitz-like operators, quasicommutator ideals, numerical analysis. I. Zbl 0582.47028Roch, Steffen; Silbermann, Bernd 6 1985 Some results on the invertibility of Toeplitz plus Hankel operators. Zbl 1304.47037Didenko, Victor D.; Silbermann, Bernd 5 2014 Zero sums of idempotents and Banach algebras failing to be spectrally regular. Zbl 1291.46048Bart, H.; Ehrhardt, T.; Silbermann, B. 5 2013 Index calculation for Toeplitz plus Hankel operators with piecewise quasi-continuous generating functions. Zbl 1280.47038Didenko, V. D.; Silbermann, B. 5 2013 A handy formula for the Fredholm index of Toeplitz plus Hankel operators. Zbl 1272.47041Roch, Steffen; Silbermann, Bernd 5 2012 Spectral regularity of Banach algebras and non-commutative Gelfand theory. Zbl 1268.30040Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 5 2012 Trace conditions for regular spectral behavior of vector-valued analytic functions. Zbl 1188.47014Bart, H.; Ehrhardt, T.; Silbermann, B. 5 2009 Szegő limit theorems for operators with almost periodic diagonals. Zbl 1122.47025Roch, Steffen; Silbermann, Bernd 5 2007 Finite sections of band-dominated operators with almost periodic coefficients. Zbl 1114.65057Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd 5 2006 Logarithmic residues in the Banach algebra generated by the compact operators and the identity. Zbl 1069.47015Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 5 2004 Approximate identities and stability of discrete convolution operators with flip. Zbl 0938.45011Ehrhardt, Torsten; Silbermann, Bernd 5 1999 The Calkin image of algebras of singular integral operators. Zbl 0702.47014Roch, Steffen; Silbermann, Bernd 5 1989 A symbol calculus for finite sections of singular integral operators with shift and piecewise continuous coefficients. Zbl 0644.45002Roch, Steffen; Silbermann, Bernd 5 1988 Sums of idempotents and logarithmic residues in zero pattern matrix algebras. Zbl 1334.15039Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 4 2016 Structure of kernels and cokernels of Toeplitz plus Hankel operators. Zbl 1314.47041Didenko, Victor D.; Silbermann, Bernd 4 2014 The finite sections approach to the index formula for band-dominated operators. Zbl 1166.47017Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd 4 2009 Asymptotic Moore-Penrose inversion of Toeplitz operators. Zbl 0880.15002Silbermann, Bernd 4 1997 Asymptotic Moore-Penrose invertibility of singular integral operators. Zbl 0860.65145Roch, Steffen; Silbermann, Bernd 4 1996 Singular integral equations with PQC coefficients and freely transformed argument. Zbl 0832.45001Böttcher, A.; Karlovich, Yu. I.; Silbermann, B. 4 1994 Stability of spline approximation methods for multidimensional pseudodifferential operators. Zbl 0804.65141Hagen, R.; Roch, S.; Silbermann, B. 4 1994 Toeplitz-like operators, quasicommutator ideals, numerical analysis. II. Zbl 0673.47024Roch, Steffen; Silbermann, Bernd 4 1987 Sequences of variable-coefficient Toeplitz matrices and their singular values. Zbl 1330.47032Mascarenhas, H.; Silbermann, B. 3 2016 Logarithmic residues, Rouché’s theorem, and spectral regularity: The \(C^{\ast}\)-algebra case. Zbl 1279.47028Bart, H.; Ehrhardt, T.; Silbermann, B. 3 2012 Finite sections of band-dominated operators: \(l^p\)-theory. Zbl 1191.47038Seidel, Markus; Silbermann, Bernd 3 2008 On the approximation numbers for the finite sections of block Toeplitz matrices. Zbl 1097.47030Rogozhin, A.; Silbermann, B. 3 2006 Modified finite sections for Toeplitz operators and their singular values. Zbl 1049.47031Silbermann, Bernd 3 2003 Sums of idempotents in the Banach algebra generated by the compact operators and the identity. Zbl 1042.46021Bart, H.; Ehrhardt, T.; Silbermann, B. 3 2002 On the decomposition of the identity into a sum of idempotents. Zbl 0980.46036Ehrhardt, T.; Rabanovich, V.; Samoilenko, Yu.; Silbermann, B. 3 2001 Boundary value problems in domains with peaks. Zbl 0996.47024Duduchava, R.; Silbermann, B. 3 2000 Convergence speed estimates for the norms of the inverses of large truncated Toeplitz matrices. Zbl 0964.15027Böttcher, A.; Grudsky, S.; Kozak, A.; Silbermann, B. 3 1999 A note on singular values of Cauchy-Toeplitz matrices. Zbl 0933.15015Roch, Steffen; Silbermann, Bernd 3 1998 \(C^*\)-algebra techniques – A powerful tool in numerical analysis. Zbl 0902.65087Silbermann, B.; Hagen, R.; Roch, S. 3 1998 The invertibility of Toeplitz plus Hankel operators with subordinated operators of even index. Zbl 07099570Didenko, Victor D.; Silbermann, Bernd 1 2019 Unions of rank/trace complete preorders. Zbl 1417.15019Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 1 2019 Kernels of a class of Toeplitz plus Hankel operators with piecewise continuous generating functions. Zbl 1405.47009Didenko, Victor D.; Silbermann, Bernd 1 2018 Invertibility and inverses of Toeplitz plus Hankel operators. Zbl 1399.47091Didenko, Victor D.; Silbermann, Bernd 2 2017 Echelon type canonical forms in upper triangular matrix algebras. Zbl 1365.15014Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 1 2017 Sums of idempotents and logarithmic residues in zero pattern matrix algebras. Zbl 1334.15039Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 4 2016 Sequences of variable-coefficient Toeplitz matrices and their singular values. Zbl 1330.47032Mascarenhas, H.; Silbermann, B. 3 2016 Generalized inverses and solution of equations with Toeplitz plus Hankel operators. Zbl 1394.47034Didenko, Victor D.; Silbermann, Bernd 2 2016 Rank decomposition in zero pattern matrix algebras. Zbl 1413.15010Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 2 2016 Generalized Toeplitz plus Hankel operators: kernel structure and defect numbers. Zbl 1394.47033Didenko, Victor D.; Silbermann, Bernd 1 2016 Approximately finite-dimensional Banach algebras are spectrally regular. Zbl 1335.47010Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 2 2015 Some results on the invertibility of Toeplitz plus Hankel operators. Zbl 1304.47037Didenko, Victor D.; Silbermann, Bernd 5 2014 Structure of kernels and cokernels of Toeplitz plus Hankel operators. Zbl 1314.47041Didenko, Victor D.; Silbermann, Bernd 4 2014 The Coburn-Simonenko theorem for some classes of Wiener-Hopf plus Hankel operators. Zbl 1349.47041Didenko, Victor D.; Silbermann, Bernd 2 2014 Finite sections of band-dominated operators – norms, condition numbers and pseudospectra. Zbl 1280.47022Seidel, Markus; Silbermann, Bernd 8 2013 Zero sums of idempotents and Banach algebras failing to be spectrally regular. Zbl 1291.46048Bart, H.; Ehrhardt, T.; Silbermann, B. 5 2013 Index calculation for Toeplitz plus Hankel operators with piecewise quasi-continuous generating functions. Zbl 1280.47038Didenko, V. D.; Silbermann, B. 5 2013 Operator theory, pseudo-differential equations, and mathematical physics. The Vladimir Rabinovich anniversary volume. Zbl 1255.47001Karlovich, 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 1297.47022Ehrhardt, Torsten; Silbermann, Bernd 1 2013 Corrigendum. Zbl 1271.65090Roch, Steffen; Santos, Pedro A.; Silbermann, Bernd 1 2013 Banach algebras of operator sequences. Zbl 1262.47021Seidel, M.; Silbermann, B. 11 2012 A handy formula for the Fredholm index of Toeplitz plus Hankel operators. Zbl 1272.47041Roch, Steffen; Silbermann, Bernd 5 2012 Spectral regularity of Banach algebras and non-commutative Gelfand theory. Zbl 1268.30040Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 5 2012 Logarithmic residues, Rouché’s theorem, and spectral regularity: The \(C^{\ast}\)-algebra case. Zbl 1279.47028Bart, H.; Ehrhardt, T.; Silbermann, B. 3 2012 Families of homomorphisms in non-commutative Gelfand theory: comparisons and examples. Zbl 1262.46030Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 2 2012 Non-commutative Gelfand theories. A tool-kit for operator theorists and numerical analysts. Zbl 1209.47002Roch, Steffen; Santos, Pedro A.; Silbermann, Bernd 42 2011 A strong Szegö-Widom Limit Theorem for operators with almost periodic diagonal. Zbl 1207.47028Ehrhardt, Torsten; Roch, Steffen; Silbermann, Bernd 2 2011 A sequence algebra of finite sections, convolution, and multiplication operators on \(L^{P}(\mathbb R)\). Zbl 1197.65055Roch, Steffen; Santos, Pedro A.; Silbermann, Bernd 6 2010 Banach algebras of structured matrix sequences. Zbl 1161.47010Seidel, Markus; Silbermann, Bernd 7 2009 Trace conditions for regular spectral behavior of vector-valued analytic functions. Zbl 1188.47014Bart, H.; Ehrhardt, T.; Silbermann, B. 5 2009 The finite sections approach to the index formula for band-dominated operators. Zbl 1166.47017Rabinovich, 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 1183.45005Mascarenhas, H.; Silbermann, B. 2 2009 On finite sections of band-dominated operators. Zbl 1167.47015Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd 11 2008 Approximation of additive convolution-like operators. Real C*-algebra approach. Zbl 1160.65002Didenko, Victor D.; Silbermann, Bernd 9 2008 Finite sections of band-dominated operators: \(l^p\)-theory. Zbl 1191.47038Seidel, Markus; Silbermann, Bernd 3 2008 Banach algebras of operator sequences: approximation numbers. Zbl 1164.47070Rogozhin, A.; Silbermann, B. 6 2007 Szegő limit theorems for operators with almost periodic diagonals. Zbl 1122.47025Roch, Steffen; Silbermann, Bernd 5 2007 Generalized Krein algebras and asymptotics of Toeplitz determinants. Zbl 1144.47311Böttcher, A.; Karlovich, A.; Silbermann, B. 2 2007 Analysis of Toeplitz operators. Prepared jointly with Alexei Karlovich. 2nd ed. Zbl 1098.47002Böttcher, Albrecht; Silbermann, Bernd 124 2006 Asymptotic behavior of generalized convolutions: an algebraic approach. Zbl 1149.47020Silbermann, Bernd; Zabroda, Olga 8 2006 Finite sections of band-dominated operators with almost periodic coefficients. Zbl 1114.65057Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd 5 2006 On the approximation numbers for the finite sections of block Toeplitz matrices. Zbl 1097.47030Rogozhin, A.; Silbermann, B. 3 2006 Approximation numbers for the finite sections of Toeplitz operators with piecewise continuous symbols. Zbl 1101.47018Rogozhin, A.; Silbermann, B. 2 2006 An approximation theory for operators generated by shifts. Zbl 1111.65049Santos, Pedro A.; Silbermann, Bernd 2 2006 Fredholm theory and numerical linear algebra. Zbl 1098.47013Silbermann, Bernd 1 2005 Convolution type operators on cones and their finite sections. Zbl 1074.45004Mascarenhas, Helena; Silbermann, Bernd 1 2005 Limit operators and their applications in operator theory. Zbl 1077.47002Rabinovich, Vladimir; Roch, Steffen; Silbermann, Bernd 86 2004 Toeplitz operators with symbols generated by slowly oscillating and semi-almost periodic matrix functions. Zbl 1081.47032Bastos, M. A.; Karlovich, Yu. I.; Silbermann, B. 7 2004 Fredholmness of singular integral operators with discrete subexponential groups of shifts on Lebesgue spaces. Zbl 1073.47049Karlovich, Yuri; Silbermann, Bernd 6 2004 Logarithmic residues in the Banach algebra generated by the compact operators and the identity. Zbl 1069.47015Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 5 2004 Modified finite sections for Toeplitz operators and their singular values. Zbl 1049.47031Silbermann, Bernd 3 2003 An axiomatic approach to stability of approximation sequences. Zbl 1031.65071Santos, Pedro A.; Silbermann, Bernd 2 2003 How to compute the partial indices of a regular and smooth matrix-valued function? Zbl 1049.47009Silbermann, Bernd 1 2003 Logarithmic residues of Fredholm operator valued functions and sums of finite rank projections. Zbl 1051.30046Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 11 2002 On stability of approximation methods for the Muskhelishvili equation. Zbl 1016.65108Didenko, V. D.; Silbermann, B. 6 2002 Logarithmic residues of analytic Banach algebra valued functions possessing a simply meromorphic inverse. Zbl 1014.46019Bart, Harm; Ehrhardt, Torsten; Silbermann, Bernd 6 2002 Sums of idempotents in the Banach algebra generated by the compact operators and the identity. Zbl 1042.46021Bart, H.; Ehrhardt, T.; Silbermann, B. 3 2002 Local method for nonlocal operators on Banach spaces. Zbl 1041.47005Karlovich, Yuri; Silbermann, Bernd 2 2002 Spline approximation methods for the biharmonic Dirichlet problem on non-smooth domains. Zbl 1020.65092Didenko, Victor D.; Silbermann, Bernd 1 2002 \(C^*\)-algebras and numerical analysis. Zbl 0964.65055Hagen, Roland; Roch, Steffen; Silbermann, Bernd 53 2001 Band-dominated operators with operator-valued coefficients, their Fredholm properties and finite sections. Zbl 1032.47051Rabinovich, V. S.; Roch, S.; Silbermann, B. 24 2001 Sums of idempotents and logarithmic residues in matrix algebras. Zbl 1047.46037Bart, H.; Ehrhardt, T.; Silbermann, B. 11 2001 Algebras of approximation sequences: Finite sections of band-dominated operators. Zbl 0996.47039Rabinovich, Vladimir S.; Roch, Steffen; Silbermann, Bernd 6 2001 Collocation methods for systems of Cauchy singular integral equations on an interval. Zbl 0969.65118Junghanns, P.; Roch, S.; Silbermann, B. 6 2001 On the decomposition of the identity into a sum of idempotents. Zbl 0980.46036Ehrhardt, 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 0979.00042Elschner, J. (ed.); Gohberg, I. (ed.); Silbermann, B. (ed.) 1 2001 Numerical analysis for one-dimensional Cauchy singular integral equations. Zbl 0978.65125Junghanns, Peter; Silbermann, Bernd 8 2000 Boundary value problems in domains with peaks. Zbl 0996.47024Duduchava, R.; Silbermann, B. 3 2000 Banach algebras generated by two idempotents and one flip. Zbl 1032.46061Finck, T.; Roch, Steffen; Silbermann, Bernd 2 2000 Galerkin method for Wiener-Hopf operators with piecewise continuous symbol. Zbl 0976.65116Santos, Pedro A.; Silbermann, Bernd 1 2000 Norms of large Toeplitz band matrices. Zbl 0945.15020Böttcher, A.; Grudsky, S.; Kozak, A.; Silbermann, B. 1 2000 Introduction to large truncated Toeplitz matrices. Zbl 0916.15012Böttcher, Albrecht; Silbermann, Bernd 202 1999 Continuity of generalized inverses in Banach algebras. Zbl 0962.47002Roch, Steffen; Silbermann, Bernd 11 1999 Approximate identities and stability of discrete convolution operators with flip. Zbl 0938.45011Ehrhardt, Torsten; Silbermann, Bernd 5 1999 Convergence speed estimates for the norms of the inverses of large truncated Toeplitz matrices. Zbl 0964.15027Böttcher, A.; Grudsky, S.; Kozak, A.; Silbermann, B. 3 1999 Fredholm theory and finite section method for band-dominated operators. Zbl 0909.47023Rabinovich, V. S.; Roch, S.; Silbermann, B. 39 1998 Index calculus for approximation methods and singular value decomposition. Zbl 0923.65026Roch, Steffen; Silbermann, Bernd 8 1998 A note on singular values of Cauchy-Toeplitz matrices. Zbl 0933.15015Roch, Steffen; Silbermann, Bernd 3 1998 \(C^*\)-algebra techniques – A powerful tool in numerical analysis. Zbl 0902.65087Silbermann, B.; Hagen, R.; Roch, S. 3 1998 An approximate method on non-equidistant partitions for double layer potential equation. Zbl 0889.65140Didenko, V. D.; Silbermann, B. 1 1998 Norms of inverses, spectra, and pseudospectra of large truncated Wiener-Hopf operators and Toeplitz matrices. Zbl 0887.47025Boettcher, A.; Grudsky, S. M.; Silbermann, B. 19 1997 Toeplitz determinants with one Fisher-Hartwig singularity. Zbl 0909.47019Ehrhardt, Torsten; Silbermann, Bernd 14 1997 Logarithmic residues, generalized idempotents, and sums of idempotents in Banach algebras. Zbl 0894.46038Bart, H.; Ehrhardt, T.; Silbermann, B. 8 1997 Finite section method in some algebras of multiplication and convolution operators and a flip. Zbl 0887.65141Roch, S.; Santos, P. A.; Silbermann, B. 7 1997 Asymptotic Moore-Penrose inversion of Toeplitz operators. Zbl 0880.15002Silbermann, Bernd 4 1997 \(C^*\)-algebra techniques in numerical analysis. Zbl 0865.65035Roch, Steffen; Silbermann, Bernd 25 1996 Banach algebras generated by \(N\) idempotents and applications. Zbl 0885.46041Böttcher, A.; Gohberg, I.; Karlovich, Yu.; Krupnik, N.; Roch, S.; Silbermann, B.; Spitkovsky, I. 21 1996 On \(C^*\)-algebras generated by idempotents. Zbl 0902.46032Krupnik, Naum; Roch, Steffen; Silbermann, Bernd 13 1996 Asymptotic Moore-Penrose invertibility of singular integral operators. Zbl 0860.65145Roch, Steffen; Silbermann, Bernd 4 1996 Asymptotic invertibility of Toeplitz operators. Zbl 0887.47028Silbermann, Bernd 1 1996 Finite section method for singular integrals with operator-valued PQC-coefficients. Zbl 0891.47017Ehrhardt, Torsten; Roch, Steffen; Silbermann, Bernd 1 1996 Algebraic techniques in stability analysis for spline approximation methods. Zbl 0882.65041Silbermann, Bernd 1 1996 The fast solution of periodic pseudodifferential equations. Zbl 0882.65101Berthold, D.; Silbermann, B. 1 1996 Infinite Toeplitz and Hankel matrices with operator-valued entries. Zbl 0849.47014Böttcher, Albrecht; Silbermann, Bernd 1 1996 Approximation methods for singular integral equations with conjugation on curves with corners. Zbl 0841.65129Didenko, V. D.; Roch, S.; Silbermann, B. 13 1995 Corrected collocation methods for periodic pseudodifferential equations. Zbl 0824.65114Berthold, D.; Silbermann, B. 3 1995 Spectral theory of approximation methods for convolution equations. Zbl 0817.65146Hagen, Roland; Roch, Steffen; Silbermann, Bernd 39 1994 Logarithmic residues in Banach algebras. Zbl 0811.46043Bart, H.; Ehrhardt, T.; Silbermann, B. 14 1994 Zero sums of idempotents in Banach algebras. Zbl 0811.46042Bart, H.; Ehrhardt, T.; Silbermann, B. 11 1994 Singular integral equations with PQC coefficients and freely transformed argument. Zbl 0832.45001Böttcher, A.; Karlovich, Yu. I.; Silbermann, B. 4 1994 ...and 67 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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Symmetry, Integrability and Geometry: Methods and Applications 2 Banach Journal of Mathematical Analysis ...and 100 more Serials all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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