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Markus, Alexander S.

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Author ID: markus.alexander-s Recent zbMATH articles by "Markus, Alexander S."
Published as: Markus, A. S.; Markus, Alexander; Markus, A.; Markus, Alexander S.
External Links: MGP · Wikidata · IdRef
Documents Indexed: 143 Publications since 1955, including 3 Books
Co-Authors: 47 Co-Authors with 110 Joint Publications
883 Co-Co-Authors
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Serials

23 Akademiya Nauk Moldavskoĭ SSR. Ordena Trudovogo Krasnogo Znameni Institut Matematiki s Vychislitel’nym Tsentrom. Matematicheskie Issledovaniya
12 Integral Equations and Operator Theory
9 Linear Algebra and its Applications
8 Functional Analysis and its Applications
7 Translations. Series 2. American Mathematical Society
6 Matematicheskiĭ Sbornik. Novaya Seriya
5 Soviet Mathematics. Doklady
4 Linear and Multilinear Algebra
4 Funktsional’nyĭ Analiz i ego Prilozheniya
3 Doklady Akademii Nauk SSSR
3 Journal of Functional Analysis
3 Mathematics of the USSR, Sbornik
2 Uspekhi Matematicheskikh Nauk [N. S.]
2 Izvestiya Akademii Nauk Moldavskoĭ SSR. Seriya Fiziko-Tekhnicheskikh i Matematicheskikh Nauk
2 Mathematics of the USSR. Izvestiya
2 Sibirskiĭ Matematicheskiĭ Zhurnal
2 Journal of Operator Theory
1 Izvestiya Vysshikh Uchebnykh Zavedeniĭ, Matematika
1 Mathematical Notes
1 Matematicheskie Zametki
1 Russian Mathematical Surveys
1 The Mathematical Intelligencer
1 Acta Scientiarum Mathematicarum
1 Annales Universitatis Scientiarum Budapestinensis de Rolando Eötvös Nominatae. Sectio Mathematica
1 Canadian Journal of Mathematics
1 Journal of Soviet Mathematics
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Siberian Mathematical Journal
1 Transactions of the Moscow Mathematical Society
1 Trudy Moskovskogo Matematicheskogo Obshchestva
1 Selecta Mathematica Sovietica
1 Systems & Control Letters
1 Zeitschrift für Analysis und ihre Anwendungen
1 SIAM Journal on Matrix Analysis and Applications
1 MCSS. Mathematics of Control, Signals, and Systems
1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya
1 Positivity
1 Mathematics and its Applications (Dordrecht)
1 Translations of Mathematical Monographs
1 Complex Analysis and Operator Theory
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova

Publications by Year

Citations contained in zbMATH Open

86 Publications have been cited 808 times in 656 Documents Cited by Year
Introduction to the spectral theory of polynomial operator pencils. Transl. from the Russian by H. H. McFaden. Zbl 0678.47005
Markus, A. S.
164
1988
Introduction to the spectral theory of polynomial operator pencils. (Vvedenie v spektral’nuyu teoriyu polinomial’nykh operatornykh puchkov). Zbl 0678.47006
Markus, A. S.
55
1986
Normally solvable operators and ideals associated with them. Zbl 0181.40601
Gokhberg, I. Ts.; Markus, A. S.; Fel’dman, I. A.
39
1960
The eigen- and singular values of the sum and product of linear operators. Zbl 0133.07205
Markus, A. S.
30
1964
Theory of commuting nonselfadjoint operators. Zbl 0834.47004
Livšic, M. S.; Kravitsky, N.; Markus, A. S.; Vinnikov, V.
29
1995
A new concept for block operator matrices: The quadratic numerical range. Zbl 0998.15035
Langer, H.; Markus, A.; Matsaev, V.; Tretter, C.
25
2001
Two theorems on the gap between subspaces of a Banach space. Zbl 0093.12003
Gokhberg, I. Ts.; Markus, A. S.
23
1959
The change of the Jordan structure of a matrix under small perturbations. Zbl 0524.15010
Markus, A. S.; Parilis, E. E.
22
1983
Perturbation theory for analytic matrix functions: The semisimple case. Zbl 1061.15009
Lancaster, P.; Markus, A. S.; Zhou, F.
21
2003
On the norm of polynomials of two adjoint projections. Zbl 0737.47006
Feldman, Israel; Krupnik, Naum; Markus, Alexander
20
1991
Locally definite operators in indefinite inner product spaces. Zbl 0879.47017
Langer, H.; Markus, A.; Matsaev, V.
19
1997
Gyroscopically stabilized systems: A class of quadratic eigenvalue problems with real spectrum. Zbl 0785.47010
Barkwell, Lawrence; Lancaster, Peter; Markus, Alexander S.
17
1992
Comparison theorems for the spectra of linear operators and spectral asymptotics. Zbl 0532.47012
Markus, A. S.; Matsaev, V. I.
17
1982
Factorization of a weakly hyperbolic bundle. Zbl 0331.47009
Markus, A. S.; Matsaev, V. I.
16
1976
Spectral theory of holomorphic operator-functions in Hilbert space. Zbl 0331.47008
Markus, A. S.; Matsaev, V. I.
14
1975
Self-adjoint block operator matrices with non-separated diagonal entries and their Schur complements. Zbl 1060.47004
Langer, H.; Markus, A.; Matsaev, V.; Tretter, C.
13
2003
Definitizable operators and quasihyperbolic operator polynomials. Zbl 0878.47021
Lancaster, P.; Markus, A. S.; Matsaev, V. I.
13
1995
The multiplicity of the characteristic number of an analytic operator function. Zbl 0234.47013
Markus, A. S.; Sigal, E. I.
11
1970
Some relations between eigenvalues and matrix elements of linear operators. Zbl 0198.17003
Gokhberg, I. Ts.; Markus, A. S.
10
1964
The problem of spectral synthesis for operators with point spectrum. Zbl 0232.47001
Markus, A. S.
10
1971
On the complete n-tuple of roots of the operator equation corresponding to a polynomial operator bundle. Zbl 0318.47011
Markus, A. S.; Mereuca, I. V.
10
1975
Factorization of a selfadjoint nonanalytic operator function. II: Single spectral zone. Zbl 0778.47015
Markus, A.; Matsaev, V.
9
1993
Low rank perturbations of strongly definitizable transformations and matrix polynomials. Zbl 0793.15002
Lancaster, Peter; Markus, Alexander S.; Ye, Qiang
9
1994
Some results on numerical ranges and factorizations of matrix polynomials. Zbl 0883.15016
Markus, Alexander S.; Rodman, Leiba
9
1997
A basis of root vectors of a dissipative operator. Zbl 0095.31203
Markus, A. S.
8
1960
Über die Variation der Jordanstruktur einer Matrix bei kleinen Störungen. Zbl 0453.15010
Markus, A. S.; Parilis, E. Eh.
8
1980
On the basis property for a certain part of the eigenvectors and associated vectors of the selfadjoint operator pencil. Zbl 0677.47008
Markus, A. S.; Matsaev, V. I.
8
1988
Principal part of resolvent and factorization of an increasing nonanalytic operator-function. Zbl 0826.47011
Markus, Alexander; Matsaev, Vladimir
8
1991
The Toeplitz-Hausdorff theorem and robust stability theory. Zbl 1052.47502
Feintuch, Avraham; Markus, Alexander
7
1999
Expansion in root vectors of a slightly perturbed self-adjoint operator. Zbl 0122.11602
Markus, A. S.
7
1962
Das Problem der Spektralsynthese für Operatoren mit Punktspektrum. Zbl 0195.13702
Markus, A. S.
6
1970
Corners of numerical ranges. Zbl 0990.47007
Langer, Heinz; Markus, Alexander; Tretter, Christiane
6
2001
On holomorphous operator functions. Zbl 0089.32203
Markus, A. S.
6
1958
Spectrum of definite type of self-adjoint operators in Krein spaces. Zbl 1079.47040
Langer, Heinz; Langer, Matthias; Markus, Alexander; Tretter, Christiane
6
2005
Comparison theorems for spectra of linear operators, and spectral asymptotics. Zbl 0557.47009
Markus, A. S.; Matsaev, V. I.
6
1984
Linearization and compact perturbation of self-adjoint analytic operator functions. Zbl 0952.47035
Langer, H.; Markus, A.; Matsaev, V.
5
2000
Some criteria for the completeness of a system of root vectors of a linear operator in a Banach space. Zbl 0196.14603
Markus, A. S.
5
1969
Some estimates for the resolvent and for the lengths of Jordan chains of an analytic operator function. Zbl 0990.47014
Markus, Alexander; Matsaev, Vladimir
5
2001
On the connection between spectral properties of a polynomial operator pencil and its divisors. Zbl 0449.47017
Kabak, V. I.; Markus, A. S.; Mereutsa, I. V.
5
1977
Connectivity of level sets of quadratic forms and Hausdorff-Toeplitz type theorems. Zbl 0891.15023
Lyubich, Yuri; Markus, Alexander
5
1997
On some properties of factorization indices. Zbl 0905.47012
Feldman, Israel; Markus, Alexander
5
1998
A theorem on comparison of spectra and spectral asymptotics for a Keldysh pencil. Zbl 0562.47014
Markus, A. S.; Matsaev, V. I.
5
1984
Operators generated by sesquilinear forms and their spectral asymptotics. Zbl 0476.47009
Markus, A. S.; Matsaev, V. I.
5
1981
On the convergence of expansions according to the eigenvectors of an operator close to a self adjoint one. Zbl 0477.47016
Markus, A. S.; Matsaev, V. I.
5
1981
The structured norm of a Hilbert space operator with respect to a given algebra of operators. Zbl 0952.93023
Feintuch, Avraham; Markus, Alexander
4
2000
Basis property of subsystems of eigen- and associated vectors of a selfadjoint operator pencil. Zbl 0719.47007
Markus, A. S.; Matsaev, V. I.
4
1987
On spectral properties of elliptic pseudo-differential operators far from self-adjoint ones. Zbl 0696.35123
Agranovich, M. S.; Markus, A. S.
4
1989
On the spectral factorization of holomorphic operator-functions. Zbl 0449.47014
Markus, A. S.; Matsaev, V. I.
4
1978
Perturbations of \(G\)-selfadjoint operators and operator polynomials with real spectrum. Zbl 0860.47008
Lancaster, P.; Markus, A.; Matsaev, V.
3
1996
The spectral theory of polynomial operator bundles in a Banach space. Zbl 0177.17201
Markus, A. S.
3
1967
Analogs of Weyl inequalities and the trace theorem in Banach space. Zbl 0252.47022
Markus, A. S.; Matsaev, V. I.
3
1972
On the connection between the spectral properties of a polynomial bundle and of the roots of the corresponding operator equation. Zbl 0289.47001
Markus, A. S.; Mereuca, I. V.
3
1973
Self-adjoint analytic operator functions and their local spectral function. Zbl 1125.47010
Langer, H.; Markus, A.; Matsaev, V.
3
2006
Complete controllability of spectrum assignment in infinite dimensional spaces. Zbl 0820.47076
Markus, A. S.; Olshevsky, V. R.
3
1993
On operator algebras determined by a sequence of operator norms. Zbl 1210.47003
Feintuch, Avraham; Markus, Alexander
3
2008
Factorization of selfadjoint quadratic matrix polynomials with real spectrum. Zbl 0830.15007
Krupnik, Ilya; Markus, Alexander; Lancaster, Peter
3
1995
Matrix problems, arising at the investigation of solutions of elliptic and parabolic second-order equations. Zbl 0223.35043
Markus, A. S.; Èĭdel’man, S. D.
2
1970
Über gewisse Verallgemeinerungen der Theorie der stark gedämpften Scharen auf den Fall von Scharen beliebiger Ordnung. Zbl 0276.47022
Markus, A. S.; Matsaev, V. I.; Russu, G. I.
2
1973
On the basis property of a certain part of eigenvectors and joined vectors of a self-adjoint operator pencil. Zbl 0632.47015
Markus, A. S.; Matsaev, V. I.
2
1987
Linearization, factorization, and the spectral compression of a self-adjoint analytic operator function under the condition (VM). Zbl 1272.47023
Langer, H.; Markus, A.; Matsaev, V.
2
2012
Factorization of matrix functions and characteristic properties of the circle. Zbl 0799.47004
Krupnik, Ilya; Markus, Alexander; Matsaev, Vladimir
2
1993
Joint spectrum and discriminant varieties of commuting nonselfadjoint operators. Zbl 0857.47004
Livšic, M. S.; Markus, A. S.
2
1994
Asymptotic behavior of spectra of operators which are close to normal. Zbl 0457.47005
Markus, A. S.; Matsaev, V. I.
2
1980
The order of neutrality for linear operators on inner product spaces. Zbl 0939.47032
Lancaster, P.; Markus, A. S.; Zizler, P.
2
1997
Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials. Zbl 1031.47005
Lancaster, Peter; Markus, Alexander S.; Psarrakos, Panayiotis
2
2002
A wider class of stable gyroscopic systems. Zbl 1029.15007
Lancaster, P.; Markus, A. S.; Zhou, F.
2
2003
The Virozub-Matsaev condition and spectrum of definite type for self-adjoint operator functions. Zbl 1177.47019
Langer, Heinz; Langer, Matthias; Markus, Alexander; Tretter, Christiane
2
2008
Über die Spektraleigenschaften holomorpher Operatorfunktionen in einem Hilbert-Raum. Zbl 0324.47011
Markus, A. S.; Matsaev, V. I.
2
1974
Chains of projectors, similar to orthogonal. Zbl 0172.16902
Markus, A. S.; Prigorskij, V. A.
1
1967
Bari bases of subspaces. Zbl 0181.13302
Markus, A. S.
1
1969
Norm of a linear combination of projectors in Hilbert space. Zbl 0712.47010
Krupnik, N. Ya.; Markus, A. S.; Fel’dman, I. A.
1
1989
A basis consistins of eigenvectors of a selfadjoint polynomial pencil. Zbl 0233.47018
Markus, A. S.; Russu, G. I.
1
1971
On the normal solvability of singular integral operators in symmetric spaces. (Über die normale Auflösbarkeit singulärer Integraloperatoren in symmetrischen Räumen.) Zbl 0238.45003
Leiterer, Jürgen; Markus, A.
1
1972
Unitary spectrum of a contraction in Banach space. Zbl 0277.47009
Markus, A. S.; Nikol’skaya, L. N.; Nikol’skij, N. K.
1
1974
The reduction method for operators in Hilbert space. Zbl 0283.47023
Markus, A. S.
1
1974
Joint zero sets and ranges of several Hermitian forms over complex and quaternionic scalars. Zbl 1060.15017
Binding, P.; Markus, A.
1
2004
Über eine charakteristische Eigenschaft des Kernes eines linearen Operators. Zbl 0066.36504
Gochberg, I. C.; Markus, A. S.
1
1955
Über eine charakteristische Eigenschaft des Kerns eines linearen Operators. Zbl 0066.36601
Markus, A. S.
1
1955
On \(n\)-fold expansions for ordinary differential operators. Zbl 1012.34079
Faierman, M.; Markus, A.; Matsaev, V.; Möller, M.
1
2002
Operators which weakly perturb the spectrum. Zbl 0409.47010
Markus, A. S.; Semencul, A. A.
1
1979
The lossless embedding problem for time-varying contractive systems. Zbl 0866.93006
Feintuch, Avraham; Markus, Alexander
1
1996
Similarity invariant subspaces and Lie ideals in operator algebras. Zbl 1042.47050
Belitskii, G.; Markus, A.
1
2002
A theorem on comparison of spectra, and the spectral asymptotics for a Keldysh pencil. Zbl 0603.47018
Markus, A. S.; Matsaev, V. I.
1
1985
Some remarks on factorization of selfadjoint matrix functions. Zbl 0824.47013
Krupnik, Ilya; Markus, Alexander
1
1995
Convexity of ranges and connectedness of level sets of quadratic forms. Zbl 1193.15022
Feldman, I.; Krupnik, N.; Markus, A.
1
2010
Über die Konvergenz mehrfacher Entwicklungen nach dem System der Eigenvektoren und adjungierten Vektoren einer Operatorschar. Zbl 0148.12902
Vizitei, V. N.; Markus, A. S.
1
1965
Linearization, factorization, and the spectral compression of a self-adjoint analytic operator function under the condition (VM). Zbl 1272.47023
Langer, H.; Markus, A.; Matsaev, V.
2
2012
Convexity of ranges and connectedness of level sets of quadratic forms. Zbl 1193.15022
Feldman, I.; Krupnik, N.; Markus, A.
1
2010
On operator algebras determined by a sequence of operator norms. Zbl 1210.47003
Feintuch, Avraham; Markus, Alexander
3
2008
The Virozub-Matsaev condition and spectrum of definite type for self-adjoint operator functions. Zbl 1177.47019
Langer, Heinz; Langer, Matthias; Markus, Alexander; Tretter, Christiane
2
2008
Self-adjoint analytic operator functions and their local spectral function. Zbl 1125.47010
Langer, H.; Markus, A.; Matsaev, V.
3
2006
Spectrum of definite type of self-adjoint operators in Krein spaces. Zbl 1079.47040
Langer, Heinz; Langer, Matthias; Markus, Alexander; Tretter, Christiane
6
2005
Joint zero sets and ranges of several Hermitian forms over complex and quaternionic scalars. Zbl 1060.15017
Binding, P.; Markus, A.
1
2004
Perturbation theory for analytic matrix functions: The semisimple case. Zbl 1061.15009
Lancaster, P.; Markus, A. S.; Zhou, F.
21
2003
Self-adjoint block operator matrices with non-separated diagonal entries and their Schur complements. Zbl 1060.47004
Langer, H.; Markus, A.; Matsaev, V.; Tretter, C.
13
2003
A wider class of stable gyroscopic systems. Zbl 1029.15007
Lancaster, P.; Markus, A. S.; Zhou, F.
2
2003
Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials. Zbl 1031.47005
Lancaster, Peter; Markus, Alexander S.; Psarrakos, Panayiotis
2
2002
On \(n\)-fold expansions for ordinary differential operators. Zbl 1012.34079
Faierman, M.; Markus, A.; Matsaev, V.; Möller, M.
1
2002
Similarity invariant subspaces and Lie ideals in operator algebras. Zbl 1042.47050
Belitskii, G.; Markus, A.
1
2002
A new concept for block operator matrices: The quadratic numerical range. Zbl 0998.15035
Langer, H.; Markus, A.; Matsaev, V.; Tretter, C.
25
2001
Corners of numerical ranges. Zbl 0990.47007
Langer, Heinz; Markus, Alexander; Tretter, Christiane
6
2001
Some estimates for the resolvent and for the lengths of Jordan chains of an analytic operator function. Zbl 0990.47014
Markus, Alexander; Matsaev, Vladimir
5
2001
Linearization and compact perturbation of self-adjoint analytic operator functions. Zbl 0952.47035
Langer, H.; Markus, A.; Matsaev, V.
5
2000
The structured norm of a Hilbert space operator with respect to a given algebra of operators. Zbl 0952.93023
Feintuch, Avraham; Markus, Alexander
4
2000
The Toeplitz-Hausdorff theorem and robust stability theory. Zbl 1052.47502
Feintuch, Avraham; Markus, Alexander
7
1999
On some properties of factorization indices. Zbl 0905.47012
Feldman, Israel; Markus, Alexander
5
1998
Locally definite operators in indefinite inner product spaces. Zbl 0879.47017
Langer, H.; Markus, A.; Matsaev, V.
19
1997
Some results on numerical ranges and factorizations of matrix polynomials. Zbl 0883.15016
Markus, Alexander S.; Rodman, Leiba
9
1997
Connectivity of level sets of quadratic forms and Hausdorff-Toeplitz type theorems. Zbl 0891.15023
Lyubich, Yuri; Markus, Alexander
5
1997
The order of neutrality for linear operators on inner product spaces. Zbl 0939.47032
Lancaster, P.; Markus, A. S.; Zizler, P.
2
1997
Perturbations of \(G\)-selfadjoint operators and operator polynomials with real spectrum. Zbl 0860.47008
Lancaster, P.; Markus, A.; Matsaev, V.
3
1996
The lossless embedding problem for time-varying contractive systems. Zbl 0866.93006
Feintuch, Avraham; Markus, Alexander
1
1996
Theory of commuting nonselfadjoint operators. Zbl 0834.47004
Livšic, M. S.; Kravitsky, N.; Markus, A. S.; Vinnikov, V.
29
1995
Definitizable operators and quasihyperbolic operator polynomials. Zbl 0878.47021
Lancaster, P.; Markus, A. S.; Matsaev, V. I.
13
1995
Factorization of selfadjoint quadratic matrix polynomials with real spectrum. Zbl 0830.15007
Krupnik, Ilya; Markus, Alexander; Lancaster, Peter
3
1995
Some remarks on factorization of selfadjoint matrix functions. Zbl 0824.47013
Krupnik, Ilya; Markus, Alexander
1
1995
Low rank perturbations of strongly definitizable transformations and matrix polynomials. Zbl 0793.15002
Lancaster, Peter; Markus, Alexander S.; Ye, Qiang
9
1994
Joint spectrum and discriminant varieties of commuting nonselfadjoint operators. Zbl 0857.47004
Livšic, M. S.; Markus, A. S.
2
1994
Factorization of a selfadjoint nonanalytic operator function. II: Single spectral zone. Zbl 0778.47015
Markus, A.; Matsaev, V.
9
1993
Complete controllability of spectrum assignment in infinite dimensional spaces. Zbl 0820.47076
Markus, A. S.; Olshevsky, V. R.
3
1993
Factorization of matrix functions and characteristic properties of the circle. Zbl 0799.47004
Krupnik, Ilya; Markus, Alexander; Matsaev, Vladimir
2
1993
Gyroscopically stabilized systems: A class of quadratic eigenvalue problems with real spectrum. Zbl 0785.47010
Barkwell, Lawrence; Lancaster, Peter; Markus, Alexander S.
17
1992
On the norm of polynomials of two adjoint projections. Zbl 0737.47006
Feldman, Israel; Krupnik, Naum; Markus, Alexander
20
1991
Principal part of resolvent and factorization of an increasing nonanalytic operator-function. Zbl 0826.47011
Markus, Alexander; Matsaev, Vladimir
8
1991
On spectral properties of elliptic pseudo-differential operators far from self-adjoint ones. Zbl 0696.35123
Agranovich, M. S.; Markus, A. S.
4
1989
Norm of a linear combination of projectors in Hilbert space. Zbl 0712.47010
Krupnik, N. Ya.; Markus, A. S.; Fel’dman, I. A.
1
1989
Introduction to the spectral theory of polynomial operator pencils. Transl. from the Russian by H. H. McFaden. Zbl 0678.47005
Markus, A. S.
164
1988
On the basis property for a certain part of the eigenvectors and associated vectors of the selfadjoint operator pencil. Zbl 0677.47008
Markus, A. S.; Matsaev, V. I.
8
1988
Basis property of subsystems of eigen- and associated vectors of a selfadjoint operator pencil. Zbl 0719.47007
Markus, A. S.; Matsaev, V. I.
4
1987
On the basis property of a certain part of eigenvectors and joined vectors of a self-adjoint operator pencil. Zbl 0632.47015
Markus, A. S.; Matsaev, V. I.
2
1987
Introduction to the spectral theory of polynomial operator pencils. (Vvedenie v spektral’nuyu teoriyu polinomial’nykh operatornykh puchkov). Zbl 0678.47006
Markus, A. S.
55
1986
A theorem on comparison of spectra, and the spectral asymptotics for a Keldysh pencil. Zbl 0603.47018
Markus, A. S.; Matsaev, V. I.
1
1985
Comparison theorems for spectra of linear operators, and spectral asymptotics. Zbl 0557.47009
Markus, A. S.; Matsaev, V. I.
6
1984
A theorem on comparison of spectra and spectral asymptotics for a Keldysh pencil. Zbl 0562.47014
Markus, A. S.; Matsaev, V. I.
5
1984
The change of the Jordan structure of a matrix under small perturbations. Zbl 0524.15010
Markus, A. S.; Parilis, E. E.
22
1983
Comparison theorems for the spectra of linear operators and spectral asymptotics. Zbl 0532.47012
Markus, A. S.; Matsaev, V. I.
17
1982
Operators generated by sesquilinear forms and their spectral asymptotics. Zbl 0476.47009
Markus, A. S.; Matsaev, V. I.
5
1981
On the convergence of expansions according to the eigenvectors of an operator close to a self adjoint one. Zbl 0477.47016
Markus, A. S.; Matsaev, V. I.
5
1981
Über die Variation der Jordanstruktur einer Matrix bei kleinen Störungen. Zbl 0453.15010
Markus, A. S.; Parilis, E. Eh.
8
1980
Asymptotic behavior of spectra of operators which are close to normal. Zbl 0457.47005
Markus, A. S.; Matsaev, V. I.
2
1980
Operators which weakly perturb the spectrum. Zbl 0409.47010
Markus, A. S.; Semencul, A. A.
1
1979
On the spectral factorization of holomorphic operator-functions. Zbl 0449.47014
Markus, A. S.; Matsaev, V. I.
4
1978
On the connection between spectral properties of a polynomial operator pencil and its divisors. Zbl 0449.47017
Kabak, V. I.; Markus, A. S.; Mereutsa, I. V.
5
1977
Factorization of a weakly hyperbolic bundle. Zbl 0331.47009
Markus, A. S.; Matsaev, V. I.
16
1976
Spectral theory of holomorphic operator-functions in Hilbert space. Zbl 0331.47008
Markus, A. S.; Matsaev, V. I.
14
1975
On the complete n-tuple of roots of the operator equation corresponding to a polynomial operator bundle. Zbl 0318.47011
Markus, A. S.; Mereuca, I. V.
10
1975
Über die Spektraleigenschaften holomorpher Operatorfunktionen in einem Hilbert-Raum. Zbl 0324.47011
Markus, A. S.; Matsaev, V. I.
2
1974
Unitary spectrum of a contraction in Banach space. Zbl 0277.47009
Markus, A. S.; Nikol’skaya, L. N.; Nikol’skij, N. K.
1
1974
The reduction method for operators in Hilbert space. Zbl 0283.47023
Markus, A. S.
1
1974
On the connection between the spectral properties of a polynomial bundle and of the roots of the corresponding operator equation. Zbl 0289.47001
Markus, A. S.; Mereuca, I. V.
3
1973
Über gewisse Verallgemeinerungen der Theorie der stark gedämpften Scharen auf den Fall von Scharen beliebiger Ordnung. Zbl 0276.47022
Markus, A. S.; Matsaev, V. I.; Russu, G. I.
2
1973
Analogs of Weyl inequalities and the trace theorem in Banach space. Zbl 0252.47022
Markus, A. S.; Matsaev, V. I.
3
1972
On the normal solvability of singular integral operators in symmetric spaces. (Über die normale Auflösbarkeit singulärer Integraloperatoren in symmetrischen Räumen.) Zbl 0238.45003
Leiterer, Jürgen; Markus, A.
1
1972
The problem of spectral synthesis for operators with point spectrum. Zbl 0232.47001
Markus, A. S.
10
1971
A basis consistins of eigenvectors of a selfadjoint polynomial pencil. Zbl 0233.47018
Markus, A. S.; Russu, G. I.
1
1971
The multiplicity of the characteristic number of an analytic operator function. Zbl 0234.47013
Markus, A. S.; Sigal, E. I.
11
1970
Das Problem der Spektralsynthese für Operatoren mit Punktspektrum. Zbl 0195.13702
Markus, A. S.
6
1970
Matrix problems, arising at the investigation of solutions of elliptic and parabolic second-order equations. Zbl 0223.35043
Markus, A. S.; Èĭdel’man, S. D.
2
1970
Some criteria for the completeness of a system of root vectors of a linear operator in a Banach space. Zbl 0196.14603
Markus, A. S.
5
1969
Bari bases of subspaces. Zbl 0181.13302
Markus, A. S.
1
1969
The spectral theory of polynomial operator bundles in a Banach space. Zbl 0177.17201
Markus, A. S.
3
1967
Chains of projectors, similar to orthogonal. Zbl 0172.16902
Markus, A. S.; Prigorskij, V. A.
1
1967
Über die Konvergenz mehrfacher Entwicklungen nach dem System der Eigenvektoren und adjungierten Vektoren einer Operatorschar. Zbl 0148.12902
Vizitei, V. N.; Markus, A. S.
1
1965
The eigen- and singular values of the sum and product of linear operators. Zbl 0133.07205
Markus, A. S.
30
1964
Some relations between eigenvalues and matrix elements of linear operators. Zbl 0198.17003
Gokhberg, I. Ts.; Markus, A. S.
10
1964
Expansion in root vectors of a slightly perturbed self-adjoint operator. Zbl 0122.11602
Markus, A. S.
7
1962
Normally solvable operators and ideals associated with them. Zbl 0181.40601
Gokhberg, I. Ts.; Markus, A. S.; Fel’dman, I. A.
39
1960
A basis of root vectors of a dissipative operator. Zbl 0095.31203
Markus, A. S.
8
1960
Two theorems on the gap between subspaces of a Banach space. Zbl 0093.12003
Gokhberg, I. Ts.; Markus, A. S.
23
1959
On holomorphous operator functions. Zbl 0089.32203
Markus, A. S.
6
1958
Über eine charakteristische Eigenschaft des Kernes eines linearen Operators. Zbl 0066.36504
Gochberg, I. C.; Markus, A. S.
1
1955
Über eine charakteristische Eigenschaft des Kerns eines linearen Operators. Zbl 0066.36601
Markus, A. S.
1
1955
all top 5

Cited by 674 Authors

27 Jeribi, Aref
20 Rodman, Leiba X.
19 Psarrakos, Panayiotis J.
18 Markus, Alexander S.
15 Lancaster, Peter
12 Langer, Heinz
12 Tretter, Christiane
11 Krupnik, Naum Yakovlevich
11 Trunk, Carsten
10 Matsaev, Vladimir Igorevich
9 Motovilov, Aleksandr Konstantinovich
9 Shkalikov, Andreĭ Andreevich
9 Vinnikov, Victor L.
9 Zaballa, Ion
8 Ammar, Aymen
8 Engström, Christian
8 Maroulas, John
8 Philipp, Friedrich
7 Bart, Harm
7 Behrndt, Jussi
7 de Hoyos, Inmaculada
7 Krupnik, Ilya
7 Malamud, Mark M.
7 Mennicken, Reinhard
7 Zakora, Dmitriĭ Aleksandrovich
6 Chen, Alatancang
6 Langer, Matthias
6 Mityagin, Boris Samuilovich
6 Ostrovskii, Mikhail Iosifovich
6 Ran, André C. M.
6 Spitkovsky, Ilya Matvey
5 Abdmouleh, Faiçal
5 Ehrhardt, Torsten
5 Faierman, Melvin
5 Gohberg, Israel
5 Latrach, Khalid
5 Moalla, Nedra
5 Siegl, Petr
5 Silbermann, Bernd
5 Zagorodnyuk, Sergey Mihaylovich
4 Azizov, Tomas Ya.
4 Baranov, Anton D.
4 Dai, Hua
4 Dehici, Abdelkader
4 Galaktionov, Victor Aleksandrovich
4 Gesztesy, Fritz
4 Gil’, Michael Iosif
4 González Ortiz, Manuel
4 Huang, Junjie
4 Kaashoek, Marinus Adriaan
4 Kopachevskiĭ, Nikolaĭ Dmitrievich
4 Kostyuchenko, Anatolii Gordeevich
4 Shamovich, Eli
4 Tisseur, Françoise
4 Van der Mee, Cornelis Victor Maria
4 Walha, Ines
4 Xie, Huiqing
3 Agranovich, Mikhail Semënovich
3 Albeverio, Sergio A.
3 Ball, Joseph Anthony
3 Boĭmatov, Kamoliddin Khamroevich
3 Borisova, Galina S.
3 Böttcher, Albrecht
3 Charfi, Salma
3 Dmytryshyn, Andrii R.
3 Feintuch, Avraham
3 Förster, Karl-Heinz
3 Franchi, Massimo
3 Gracia, Juan-Miguel
3 Hernández Rodriguez, Francisco L.
3 Holden, Helge
3 Hryniv, Rostyslav O.
3 Jasper, John
3 Kapitula, Todd M.
3 Kurbatova, Irina Vital’evna
3 Lunyov, Anton A.
3 Nakazato, Hiroshi
3 Nakazi, Takahiko
3 Naumov, Alekseĭ Aleksandrovich
3 Nikol’skiĭ, Nikolaĭ Kapitonovich
3 Olshevsky, Vadim
3 Saadaoui, Bilel
3 Salas Brown, Margot
3 Shieh, Leang-San
3 Shubov, Marianna A.
3 Spigel, Yafim
3 Spokoiny, Vladimir G.
3 Torshage, Axel
3 Tsay, Yih Tsong
3 Ul’yanov, Vladimir Vasil’evich
3 Voss, Heinrich
3 Wu, Xiufeng
3 Wyss, Christian
3 Yakubovich, Dmitry V.
3 Zizler, Peter
2 Adamyan, Vadym Movsesovych
2 Adduci, James
2 Alpay, Daniel Aron
2 Álvarez-Caudevilla, Pablo
2 Aydemir, Kadriye
...and 574 more Authors
all top 5

Cited in 165 Serials

98 Linear Algebra and its Applications
67 Integral Equations and Operator Theory
43 Journal of Mathematical Analysis and Applications
37 Journal of Functional Analysis
24 Mathematical Notes
22 Functional Analysis and its Applications
17 Journal of Mathematical Sciences (New York)
16 Mathematische Nachrichten
13 Linear and Multilinear Algebra
11 Siberian Mathematical Journal
9 Journal of Mathematical Physics
9 Transactions of the American Mathematical Society
9 Indagationes Mathematicae. New Series
9 Complex Analysis and Operator Theory
8 Journal of Differential Equations
8 Journal of Soviet Mathematics
6 Mathematische Annalen
6 SIAM Journal on Matrix Analysis and Applications
6 Mediterranean Journal of Mathematics
5 Advances in Mathematics
5 Mathematische Zeitschrift
5 Numerische Mathematik
5 Doklady Mathematics
4 Computers & Mathematics with Applications
4 Communications in Mathematical Physics
4 Mathematical Methods in the Applied Sciences
4 Applied Mathematics and Computation
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Russian Mathematics
3 Applicable Analysis
3 Rocky Mountain Journal of Mathematics
3 Theoretical and Mathematical Physics
3 Journal of Approximation Theory
3 Journal of Computational and Applied Mathematics
3 Proceedings of the American Mathematical Society
3 Quaestiones Mathematicae
3 St. Petersburg Mathematical Journal
3 Differential Equations
3 Analysis and Mathematical Physics
2 Bulletin of the Australian Mathematical Society
2 General Relativity and Gravitation
2 International Journal of Systems Science
2 Journal d’Analyse Mathématique
2 Letters in Mathematical Physics
2 Ukrainian Mathematical Journal
2 The Mathematical Intelligencer
2 Automatica
2 Manuscripta Mathematica
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Results in Mathematics
2 Topology and its Applications
2 Annals of Global Analysis and Geometry
2 Applied Numerical Mathematics
2 Applied Mathematics Letters
2 Multidimensional Systems and Signal Processing
2 Geometric and Functional Analysis. GAFA
2 Computational Mathematics and Mathematical Physics
2 ETNA. Electronic Transactions on Numerical Analysis
2 ELA. The Electronic Journal of Linear Algebra
2 Positivity
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Acta Mathematica Sinica. English Series
2 Lobachevskii Journal of Mathematics
2 Foundations of Computational Mathematics
2 Journal of the Australian Mathematical Society
2 Communications on Pure and Applied Analysis
2 Proceedings of the Steklov Institute of Mathematics
2 Mathematics in Computer Science
2 Ufimskiĭ Matematicheskiĭ Zhurnal
2 Eurasian Mathematical Journal
1 American Mathematical Monthly
1 International Journal of Control
1 Inverse Problems
1 Israel Journal of Mathematics
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Studia Mathematica
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1 Mathematics of Computation
1 Acta Mathematica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Optimization
1 Archiv der Mathematik
1 Functiones et Approximatio. Commentarii Mathematici
1 Geometriae Dedicata
1 International Journal of Mathematics and Mathematical Sciences
1 International Journal for Numerical Methods in Engineering
1 Inventiones Mathematicae
1 Journal of Algebra
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Semigroup Forum
1 SIAM Journal on Control and Optimization
1 SIAM Journal on Numerical Analysis
1 Studies in Applied Mathematics
1 Transactions of the Moscow Mathematical Society
1 Systems & Control Letters
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series B
...and 65 more Serials
all top 5

Cited in 50 Fields

368 Operator theory (47-XX)
142 Linear and multilinear algebra; matrix theory (15-XX)
84 Ordinary differential equations (34-XX)
84 Partial differential equations (35-XX)
82 Functional analysis (46-XX)
50 Numerical analysis (65-XX)
31 Systems theory; control (93-XX)
20 Functions of a complex variable (30-XX)
18 Integral equations (45-XX)
17 Global analysis, analysis on manifolds (58-XX)
17 Quantum theory (81-XX)
17 Statistical mechanics, structure of matter (82-XX)
15 Harmonic analysis on Euclidean spaces (42-XX)
14 Fluid mechanics (76-XX)
13 Mechanics of deformable solids (74-XX)
11 Calculus of variations and optimal control; optimization (49-XX)
10 Algebraic geometry (14-XX)
10 Dynamical systems and ergodic theory (37-XX)
10 Probability theory and stochastic processes (60-XX)
10 Mechanics of particles and systems (70-XX)
8 Approximations and expansions (41-XX)
8 Optics, electromagnetic theory (78-XX)
7 Topological groups, Lie groups (22-XX)
4 Number theory (11-XX)
4 Potential theory (31-XX)
4 Special functions (33-XX)
4 Difference and functional equations (39-XX)
4 Differential geometry (53-XX)
4 General topology (54-XX)
4 Computer science (68-XX)
4 Operations research, mathematical programming (90-XX)
3 History and biography (01-XX)
3 Combinatorics (05-XX)
3 Real functions (26-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Manifolds and cell complexes (57-XX)
3 Relativity and gravitational theory (83-XX)
2 Integral transforms, operational calculus (44-XX)
2 Convex and discrete geometry (52-XX)
2 Astronomy and astrophysics (85-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Commutative algebra (13-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Statistics (62-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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