Edit Profile (opens in new tab) Markus, Alexander S. Co-Author Distance Author ID: markus.alexander-s Published as: Markus, A. S.; Markus, Alexander; Markus, A.; Markus, Alexander S. more...less External Links: MGP · Wikidata · IdRef Documents Indexed: 143 Publications since 1955, including 3 Books Co-Authors: 46 Co-Authors with 110 Joint Publications 943 Co-Co-Authors all top 5 Co-Authors 27 single-authored 37 Matsaev, Vladimir Igorevich 13 Feldman, Israel 13 Lancaster, Peter 10 Langer, Heinz 6 Feintuch, Avraham 6 Gohberg, Israel 6 Krupnik, Naum Yakovlevich 5 Tretter, Christiane 3 Kabak, V. I. 3 Krupnik, Ilya 3 Prigorskij, V. A. 3 Rodman, Leiba X. 3 Russu, G. I. 3 Sementsul, A. A. 2 Bart, Harm 2 Langer, Matthias 2 Livšic, Mikhail Samuilovich (Moshe) 2 Mereuca, I. V. 2 Nikolskaya, Ludmila N. 2 Nikol’skiĭ, Nikolaĭ Kapitonovich 2 Olshevsky, Vadim 2 Parilis, E. Eh. 2 Psarrakos, Panayiotis J. 2 Viziteĭ, Viktor Nikolaevich 1 Agranovich, Mikhail Semënovich 1 Barkwell, Lawrence 1 Belitskii, Genrich R. 1 Binding, Paul Anthony 1 Dym, Harry 1 Eĭdel’man, Samuïl Davydovych 1 Faierman, Melvin 1 Gurariĭ, Volodymyr Illich 1 Kaashoek, Marinus Adriaan 1 Koltracht, Israel 1 Kravitsky, Naftali 1 Leiterer, Jürgen 1 Lyubich, Yuriĭ Il’ich 1 Maroulas, John 1 McFaden, Harold 1 Mereutsa, I. V. 1 Möller, Manfred 1 Paraska, V. I. 1 Pavel, V. T. 1 Pöltz, R. 1 Sigal, E. I. 1 Slabova, S. K. 1 Tam, Tin-Yau 1 Vinnikov, Victor L. 1 Ye, Qiang 1 Zizler, Peter all top 5 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 all top 5 Fields 99 Operator theory (47-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 16 Functional analysis (46-XX) 8 Systems theory; control (93-XX) 6 Partial differential equations (35-XX) 5 Numerical analysis (65-XX) 4 Integral equations (45-XX) 3 History and biography (01-XX) 2 Topological groups, Lie groups (22-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 88 Publications have been cited 938 times in 765 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. 203 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. 68 1986 Normally solvable operators and ideals associated with them. Zbl 0181.40601 Gokhberg, I. Ts.; Markus, A. S.; Fel’dman, I. A. 52 1960 Theory of commuting nonselfadjoint operators. Zbl 0834.47004 Livšic, M. S.; Kravitsky, N.; Markus, A. S.; Vinnikov, V. 34 1995 The eigen- and singular values of the sum and product of linear operators. Zbl 0133.07205 Markus, A. S. 33 1964 A new concept for block operator matrices: The quadratic numerical range. Zbl 0998.15035 Langer, H.; Markus, A.; Matsaev, V.; Tretter, C. 30 2001 Two theorems on the gap between subspaces of a Banach space. Zbl 0093.12003 Gokhberg, I. Ts.; Markus, A. S. 27 1959 The change of the Jordan structure of a matrix under small perturbations. Zbl 0524.15010 Markus, A. S.; Parilis, E. E. 25 1983 Perturbation theory for analytic matrix functions: The semisimple case. Zbl 1061.15009 Lancaster, P.; Markus, A. S.; Zhou, F. 25 2003 Locally definite operators in indefinite inner product spaces. Zbl 0879.47017 Langer, H.; Markus, A.; Matsaev, V. 22 1997 Comparison theorems for the spectra of linear operators and spectral asymptotics. Zbl 0532.47012 Markus, A. S.; Matsaev, V. I. 21 1982 On the norm of polynomials of two adjoint projections. Zbl 0737.47006 Feldman, Israel; Krupnik, Naum; Markus, Alexander 20 1991 Gyroscopically stabilized systems: A class of quadratic eigenvalue problems with real spectrum. Zbl 0785.47010 Barkwell, Lawrence; Lancaster, Peter; Markus, Alexander S. 17 1992 Factorization of a weakly hyperbolic bundle. Zbl 0331.47009 Markus, A. S.; Matsaev, V. I. 16 1976 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. 16 2003 Definitizable operators and quasihyperbolic operator polynomials. Zbl 0878.47021 Lancaster, P.; Markus, A. S.; Matsaev, V. I. 14 1995 Spectral theory of holomorphic operator-functions in Hilbert space. Zbl 0331.47008 Markus, A. S.; Matsaev, V. I. 14 1975 The multiplicity of the characteristic number of an analytic operator function. Zbl 0234.47013 Markus, A. S.; Sigal, E. I. 11 1970 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. 11 1975 Some relations between eigenvalues and matrix elements of linear operators. Zbl 0198.17003 Gokhberg, I. Ts.; Markus, A. S. 11 1964 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. 10 1988 A basis of root vectors of a dissipative operator. Zbl 0095.31203 Markus, A. S. 10 1960 The problem of spectral synthesis for operators with point spectrum. Zbl 0232.47001 Markus, A. S. 10 1971 Expansion in root vectors of a slightly perturbed self-adjoint operator. Zbl 0122.11602 Markus, A. S. 9 1962 Some results on numerical ranges and factorizations of matrix polynomials. Zbl 0883.15016 Markus, Alexander S.; Rodman, Leiba 9 1997 Über die Variation der Jordanstruktur einer Matrix bei kleinen Störungen. Zbl 0453.15010 Markus, A. S.; Parilis, E. Eh. 9 1980 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 The Toeplitz-Hausdorff theorem and robust stability theory. Zbl 1052.47502 Feintuch, Avraham; Markus, Alexander 8 1999 Principal part of resolvent and factorization of an increasing nonanalytic operator-function. Zbl 0826.47011 Markus, Alexander; Matsaev, Vladimir 8 1991 Operators generated by sesquilinear forms and their spectral asymptotics. Zbl 0476.47009 Markus, A. S.; Matsaev, V. I. 7 1981 Linearization and compact perturbation of self-adjoint analytic operator functions. Zbl 0952.47035 Langer, H.; Markus, A.; Matsaev, V. 7 2000 A theorem on comparison of spectra and spectral asymptotics for a Keldysh pencil. Zbl 0562.47014 Markus, A. S.; Matsaev, V. I. 7 1984 Corners of numerical ranges. Zbl 0990.47007 Langer, Heinz; Markus, Alexander; Tretter, Christiane 7 2001 Spectrum of definite type of self-adjoint operators in Krein spaces. Zbl 1079.47040 Langer, Heinz; Langer, Matthias; Markus, Alexander; Tretter, Christiane 7 2005 Das Problem der Spektralsynthese für Operatoren mit Punktspektrum. Zbl 0195.13702 Markus, A. S. 7 1970 Comparison theorems for spectra of linear operators, and spectral asymptotics. Zbl 0557.47009 Markus, A. S.; Matsaev, V. I. 6 1984 On holomorphous operator functions. Zbl 0089.32203 Markus, A. S. 6 1958 Complete controllability of spectrum assignment in infinite dimensional spaces. Zbl 0820.47076 Markus, A. S.; Olshevsky, V. R. 6 1993 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 On some properties of factorization indices. Zbl 0905.47012 Feldman, Israel; Markus, Alexander 5 1998 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 Self-adjoint analytic operator functions and their local spectral function. Zbl 1125.47010 Langer, H.; Markus, A.; Matsaev, V. 5 2006 Connectivity of level sets of quadratic forms and Hausdorff-Toeplitz type theorems. Zbl 0891.15023 Lyubich, Yuri; Markus, Alexander 5 1997 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 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 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 On spectral properties of elliptic pseudo-differential operators far from self-adjoint ones. Zbl 0696.35123 Agranovich, M. S.; Markus, A. S. 4 1989 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 spectral factorization of holomorphic operator-functions. Zbl 0449.47014 Markus, A. S.; Matsaev, V. I. 4 1978 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. 3 1987 Factorization of selfadjoint quadratic matrix polynomials with real spectrum. Zbl 0830.15007 Krupnik, Ilya; Markus, Alexander; Lancaster, Peter 3 1995 On operator algebras determined by a sequence of operator norms. Zbl 1210.47003 Feintuch, Avraham; Markus, Alexander 3 2008 Über die Konvergenz mehrfacher Entwicklungen nach dem System der Eigenvektoren und adjungierten Vektoren einer Operatorschar. Zbl 0148.12902 Vizitei, V. N.; Markus, A. S. 3 1965 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 Perturbations of \(G\)-selfadjoint operators and operator polynomials with real spectrum. Zbl 0860.47008 Lancaster, P.; Markus, A.; Matsaev, V. 3 1996 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 3 2008 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 Self-adjoint analytic operator functions: Local spectral function and inner linearization. Zbl 1197.47027 Langer, Heinz; Markus, Alexander; Matsaev, Vladimir 2 2009 Repeated eigenvectors and the numerical range of self-adjoint quadratic operator polynomials. Zbl 1031.47005 Lancaster, Peter; Markus, Alexander S.; Psarrakos, Panayiotis 2 2002 Bari bases of subspaces. Zbl 0181.13302 Markus, A. S. 2 1969 Joint spectrum and discriminant varieties of commuting nonselfadjoint operators. Zbl 0857.47004 Livšic, M. S.; Markus, A. S. 2 1994 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 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. 2 1972 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 Über die Spektraleigenschaften holomorpher Operatorfunktionen in einem Hilbert-Raum. Zbl 0324.47011 Markus, A. S.; Matsaev, V. I. 2 1974 A theorem on comparison of spectra, and the spectral asymptotics for a Keldysh pencil. Zbl 0603.47018 Markus, A. S.; Matsaev, V. I. 2 1985 The order of neutrality for linear operators on inner product spaces. Zbl 0939.47032 Lancaster, P.; Markus, A. S.; Zizler, P. 2 1997 Asymptotic behavior of spectra of operators which are close to normal. Zbl 0457.47005 Markus, A. S.; Matsaev, V. I. 2 1980 Factorization of matrix functions and characteristic properties of the circle. Zbl 0799.47004 Krupnik, Ilya; Markus, Alexander; Matsaev, Vladimir 2 1993 A wider class of stable gyroscopic systems. Zbl 1029.15007 Lancaster, P.; Markus, A. S.; Zhou, F. 2 2003 Some remarks on factorization of selfadjoint matrix functions. Zbl 0824.47013 Krupnik, Ilya; Markus, Alexander 1 1995 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 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 Chains of projectors, similar to orthogonal. Zbl 0172.16902 Markus, A. S.; Prigorskij, V. A. 1 1967 A basis consistins of eigenvectors of a selfadjoint polynomial pencil. Zbl 0233.47018 Markus, A. S.; Russu, G. I. 1 1971 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 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 The lossless embedding problem for time-varying contractive systems. Zbl 0866.93006 Feintuch, Avraham; Markus, Alexander 1 1996 Operators which weakly perturb the spectrum. Zbl 0409.47010 Markus, A. S.; Semencul, A. A. 1 1979 Über die Asymptotik des Spektrums von Operatoren, die normalen Operatoren ähnlich sind. Zbl 0439.47002 Markus, A. S.; Matsaev, V. I. 1 1979 Convexity of ranges and connectedness of level sets of quadratic forms. Zbl 1193.15022 Feldman, I.; Krupnik, N.; Markus, A. 1 2010 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 Self-adjoint analytic operator functions: Local spectral function and inner linearization. Zbl 1197.47027 Langer, Heinz; Markus, Alexander; Matsaev, Vladimir 2 2009 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 3 2008 Self-adjoint analytic operator functions and their local spectral function. Zbl 1125.47010 Langer, H.; Markus, A.; Matsaev, V. 5 2006 Spectrum of definite type of self-adjoint operators in Krein spaces. Zbl 1079.47040 Langer, Heinz; Langer, Matthias; Markus, Alexander; Tretter, Christiane 7 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. 25 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. 16 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. 30 2001 Corners of numerical ranges. Zbl 0990.47007 Langer, Heinz; Markus, Alexander; Tretter, Christiane 7 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. 7 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 8 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. 22 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. 34 1995 Definitizable operators and quasihyperbolic operator polynomials. Zbl 0878.47021 Lancaster, P.; Markus, A. S.; Matsaev, V. I. 14 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. 6 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. 203 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. 10 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. 3 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. 68 1986 A theorem on comparison of spectra, and the spectral asymptotics for a Keldysh pencil. Zbl 0603.47018 Markus, A. S.; Matsaev, V. I. 2 1985 A theorem on comparison of spectra and spectral asymptotics for a Keldysh pencil. Zbl 0562.47014 Markus, A. S.; Matsaev, V. I. 7 1984 Comparison theorems for spectra of linear operators, and spectral asymptotics. Zbl 0557.47009 Markus, A. S.; Matsaev, V. I. 6 1984 The change of the Jordan structure of a matrix under small perturbations. Zbl 0524.15010 Markus, A. S.; Parilis, E. E. 25 1983 Comparison theorems for the spectra of linear operators and spectral asymptotics. Zbl 0532.47012 Markus, A. S.; Matsaev, V. I. 21 1982 Operators generated by sesquilinear forms and their spectral asymptotics. Zbl 0476.47009 Markus, A. S.; Matsaev, V. I. 7 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. 9 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 Über die Asymptotik des Spektrums von Operatoren, die normalen Operatoren ähnlich sind. Zbl 0439.47002 Markus, A. S.; Matsaev, V. I. 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. 11 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. 2 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. 7 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. 2 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. 3 1965 The eigen- and singular values of the sum and product of linear operators. Zbl 0133.07205 Markus, A. S. 33 1964 Some relations between eigenvalues and matrix elements of linear operators. Zbl 0198.17003 Gokhberg, I. Ts.; Markus, A. S. 11 1964 Expansion in root vectors of a slightly perturbed self-adjoint operator. Zbl 0122.11602 Markus, A. S. 9 1962 Normally solvable operators and ideals associated with them. Zbl 0181.40601 Gokhberg, I. Ts.; Markus, A. S.; Fel’dman, I. A. 52 1960 A basis of root vectors of a dissipative operator. Zbl 0095.31203 Markus, A. S. 10 1960 Two theorems on the gap between subspaces of a Banach space. Zbl 0093.12003 Gokhberg, I. Ts.; Markus, A. S. 27 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 cited Publications top 5 cited Publications all top 5 Cited by 769 Authors 30 Jeribi, Aref 21 Psarrakos, Panayiotis J. 21 Rodman, Leiba X. 19 Markus, Alexander S. 15 Lancaster, Peter 15 Tretter, Christiane 13 Langer, Heinz 13 Trunk, Carsten 12 Chen, Alatancang 11 Krupnik, Naum Yakovlevich 11 Matsaev, Vladimir Igorevich 11 Vinnikov, Victor L. 11 Zakora, Dmitriĭ Aleksandrovich 10 Ammar, Aymen 9 Engström, Christian 9 Huang, Junjie 9 Motovilov, Aleksandr Konstantinovich 9 Shkalikov, Andreĭ Andreevich 9 Zaballa, Ion 8 Abdmouleh, Faiçal 8 de Hoyos, Inmaculada 8 Maroulas, John 8 Moalla, Nedra 8 Philipp, Friedrich 8 Walha, Ines 7 Bart, Harm 7 Behrndt, Jussi 7 Krupnik, Ilya 7 Malamud, Mark M. 7 Mennicken, Reinhard 6 González Ortiz, Manuel 6 Langer, Matthias 6 Mityagin, Boris Samuilovich 6 Ostrovskii, Mikhail Iosifovich 6 Ran, André C. M. 6 Shubov, Marianna A. 6 Spitkovsky, Ilya Matvey 5 Baranov, Anton D. 5 Ehrhardt, Torsten 5 Faierman, Melvin 5 Gohberg, Israel 5 Kopachevskiĭ, Nikolaĭ Dmitrievich 5 Latrach, Khalid 5 Olshevsky, Vadim 5 Siegl, Petr 5 Silbermann, Bernd 5 Wu, Xiufeng 5 Zagorodnyuk, Sergey Mihaylovich 4 Alpay, Daniel Aron 4 Azizov, Tomas Ya. 4 Dai, Hua 4 Dehici, Abdelkader 4 Galaktionov, Victor Aleksandrovich 4 Gesztesy, Fritz 4 Gil’, Michael Iosif 4 Hernández Rodriguez, Francisco L. 4 Kaashoek, Marinus Adriaan 4 Kostyuchenko, Anatolii Gordeevich 4 Krichen, Bilel 4 Kukushkin, Maksim Vladimirovich 4 Kurbatova, Irina Vital’evna 4 Lunyov, Anton A. 4 Mukhtarov, Oktay Sh. 4 Nikol’skiĭ, Nikolaĭ Kapitonovich 4 Rautian, Nadegda Aleksandrovna 4 Saadaoui, Bilel 4 Salas Brown, Margot 4 Shamovich, Eli 4 Tisseur, Françoise 4 Torshage, Axel 4 Van der Mee, Cornelis Victor Maria 4 Vlasov, Viktor Valentinovich 4 Voss, Heinrich 4 Wu, Deyu 4 Xie, Huiqing 3 Agranovich, Mikhail Semënovich 3 Albeverio, Sergio A. 3 Amirov, Rauf Kh. 3 Aydemir, Kadriye 3 Ball, Joseph Anthony 3 Belov, Yurii S. 3 Boĭmatov, Kamoliddin Khamroevich 3 Borisova, Galina S. 3 Böttcher, Albrecht 3 Charfi, Salma 3 de Terán, Fernando 3 Dmytryshyn, Andrii R. 3 Dopico, Froilán M. 3 Ergün, Abdullah 3 Feintuch, Avraham 3 Feldman, Israel 3 Förster, Karl-Heinz 3 Franchi, Massimo 3 Gracia, Juan-Miguel 3 Holden, Helge 3 Hryniv, Rostyslav O. 3 Hussein, Amru 3 Jasper, John Sahayam 3 Kapitula, Todd M. 3 Martínez Pería, Francisco D. ...and 669 more Authors all top 5 Cited in 192 Serials 102 Linear Algebra and its Applications 68 Integral Equations and Operator Theory 47 Journal of Mathematical Analysis and Applications 40 Journal of Functional Analysis 24 Mathematical Notes 22 Functional Analysis and its Applications 22 Journal of Mathematical Sciences (New York) 18 Mathematische Nachrichten 14 Linear and Multilinear Algebra 14 Complex Analysis and Operator Theory 11 Journal of Mathematical Physics 11 Siberian Mathematical Journal 10 Journal of Differential Equations 9 Transactions of the American Mathematical Society 9 Indagationes Mathematicae. New Series 8 Journal of Soviet Mathematics 7 Advances in Mathematics 7 SIAM Journal on Matrix Analysis and Applications 6 Mathematische Annalen 6 Mathematische Zeitschrift 6 Mediterranean Journal of Mathematics 5 Computers & Mathematics with Applications 5 Communications in Mathematical Physics 5 Numerische Mathematik 5 Filomat 5 Doklady Mathematics 5 Lobachevskii Journal of Mathematics 5 Differential Equations 5 Operators and Matrices 4 Mathematical Methods in the Applied Sciences 4 Ukrainian Mathematical Journal 4 Applied Mathematics and Computation 4 Quaestiones Mathematicae 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Russian Mathematics 4 St. Petersburg Mathematical Journal 4 Advances in Operator Theory 3 Applicable Analysis 3 Bulletin of the Australian Mathematical Society 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 Studies in Applied Mathematics 3 Numerical Methods for Partial Differential Equations 3 Georgian Mathematical Journal 3 ELA. The Electronic Journal of Linear Algebra 3 Analysis and Mathematical Physics 2 General Relativity and Gravitation 2 International Journal of Systems Science 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Letters in Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 The Mathematical Intelligencer 2 Automatica 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 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 Bulletin of the Iranian Mathematical Society 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 Communications in Partial Differential Equations 2 ETNA. Electronic Transactions on Numerical Analysis 2 European Journal of Control 2 Positivity 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Acta Mathematica Sinica. English Series 2 Foundations of Computational Mathematics 2 Journal of the Australian Mathematical Society 2 Communications on Pure and Applied Analysis 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Boundary Value Problems 2 Proceedings of the Steklov Institute of Mathematics 2 Mathematics in Computer Science 2 Acta Mathematica Sinica. Chinese Series 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Annals of Functional Analysis 2 Journal of Spectral Theory 2 Eurasian Mathematical Journal 2 Mathematical Control and Related Fields 1 American Mathematical Monthly 1 Analysis Mathematica 1 International Journal of Control 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Moscow University Mathematics Bulletin 1 Studia Mathematica 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Mathematics of Computation 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta ...and 92 more Serials all top 5 Cited in 52 Fields 434 Operator theory (47-XX) 155 Linear and multilinear algebra; matrix theory (15-XX) 107 Partial differential equations (35-XX) 103 Ordinary differential equations (34-XX) 88 Functional analysis (46-XX) 54 Numerical analysis (65-XX) 37 Systems theory; control (93-XX) 27 Functions of a complex variable (30-XX) 21 Integral equations (45-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 19 Mechanics of deformable solids (74-XX) 19 Quantum theory (81-XX) 18 Fluid mechanics (76-XX) 17 Statistical mechanics, structure of matter (82-XX) 15 Dynamical systems and ergodic theory (37-XX) 13 Probability theory and stochastic processes (60-XX) 11 Algebraic geometry (14-XX) 11 Calculus of variations and optimal control; optimization (49-XX) 11 Optics, electromagnetic theory (78-XX) 10 Mechanics of particles and systems (70-XX) 9 Approximations and expansions (41-XX) 7 Topological groups, Lie groups (22-XX) 6 Number theory (11-XX) 6 Difference and functional equations (39-XX) 6 Computer science (68-XX) 5 Combinatorics (05-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Operations research, mathematical programming (90-XX) 4 History and biography (01-XX) 4 Real functions (26-XX) 4 Potential theory (31-XX) 4 Special functions (33-XX) 4 Differential geometry (53-XX) 4 Manifolds and cell complexes (57-XX) 4 Relativity and gravitational theory (83-XX) 3 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-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 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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