A. S. Markus

475 total citations
25 papers, 286 citations indexed

About

A. S. Markus is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, A. S. Markus has authored 25 papers receiving a total of 286 indexed citations (citations by other indexed papers that have themselves been cited), including 17 papers in Mathematical Physics, 16 papers in Applied Mathematics and 10 papers in Computational Theory and Mathematics. Recurrent topics in A. S. Markus's work include Spectral Theory in Mathematical Physics (13 papers), Holomorphic and Operator Theory (10 papers) and Matrix Theory and Algorithms (7 papers). A. S. Markus is often cited by papers focused on Spectral Theory in Mathematical Physics (13 papers), Holomorphic and Operator Theory (10 papers) and Matrix Theory and Algorithms (7 papers). A. S. Markus collaborates with scholars based in Israel, Canada and Russia. A. S. Markus's co-authors include V. Matsaev, Peter Lancaster, Fei Zhou, M. S. Agranovich, Israel Feldman, Vadim Olshevsky, Н. К. Никольский and Avraham Feintuch and has published in prestigious journals such as Journal of Functional Analysis, Linear Algebra and its Applications and SIAM Journal on Matrix Analysis and Applications.

In The Last Decade

A. S. Markus

22 papers receiving 223 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
A. S. Markus Israel	10	155	152	126	41	38	25	286
Yu. M. Berezanskiĭ Ukraine	10	108 0.7×	180 1.2×	104 0.8×	27 0.7×	27 0.7×	39	278
Reinhard Mennicken Germany	13	215 1.4×	242 1.6×	163 1.3×	14 0.3×	50 1.3×	39	339
R. Mennicken Germany	8	160 1.0×	206 1.4×	153 1.2×	19 0.5×	28 0.7×	28	284
Israel Feldman Israel	8	99 0.6×	107 0.7×	150 1.2×	23 0.6×	27 0.7×	18	249
Georgii S. Litvinchuk Ukraine	3	104 0.7×	180 1.2×	250 2.0×	21 0.5×	33 0.9×	3	336
И. М. Спитковский Ukraine	7	126 0.8×	141 0.9×	216 1.7×	21 0.5×	12 0.3×	21	290
Max Jodeit United States	11	224 1.4×	232 1.5×	350 2.8×	27 0.7×	23 0.6×	22	512
Cesare Parenti Italy	9	76 0.5×	225 1.5×	211 1.7×	13 0.3×	19 0.5×	38	299
T. Ya. Azizov Russia	10	163 1.1×	191 1.3×	123 1.0×	23 0.6×	14 0.4×	45	257
Stephan Rempel Germany	9	164 1.1×	283 1.9×	268 2.1×	43 1.0×	27 0.7×	22	390

Countries citing papers authored by A. S. Markus

Since Specialization

Citations

This map shows the geographic impact of A. S. Markus's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by A. S. Markus with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. S. Markus more than expected).

Fields of papers citing papers by A. S. Markus

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. S. Markus. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by A. S. Markus. The network helps show where A. S. Markus may publish in the future.

Co-authorship network of co-authors of A. S. Markus

This figure shows the co-authorship network connecting the top 25 collaborators of A. S. Markus. A scholar is included among the top collaborators of A. S. Markus based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with A. S. Markus. A. S. Markus is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

Lancaster, Peter, A. S. Markus, & Fei Zhou. (2003). A wider class of stable gyroscopic systems. Linear Algebra and its Applications. 370. 257–267. 3 indexed citations

Lancaster, Peter, A. S. Markus, & Fei Zhou. (2003). Perturbation Theory for Analytic Matrix Functions: The Semisimple Case. SIAM Journal on Matrix Analysis and Applications. 25(3). 606–626. 41 indexed citations

Lancaster, Peter, et al.. (1997). The order of neutrality for linear operators on inner product spaces. Linear Algebra and its Applications. 259. 25–29. 2 indexed citations

Feintuch, Avraham & A. S. Markus. (1996). Isometric dilations in nest algebras. Integral Equations and Operator Theory. 26(3). 346–352.

Lancaster, Peter, A. S. Markus, & V. Matsaev. (1995). Definitizable Operators and Quasihyperbolic Operator Polynomials. Journal of Functional Analysis. 131(1). 1–28. 22 indexed citations

Markus, A. S., et al.. (1989). Norm of a linear combination of projectors in Hilbert space. Functional Analysis and Its Applications. 23(4). 327–329. 6 indexed citations

Markus, A. S. & V. Matsaev. (1988). ON THE BASIS PROPERTY FOR A CERTAIN PART OF THE EIGENVECTORS AND ASSOCIATED VECTORS OF A SELFADJOINT OPERATOR PENCIL. Mathematics of the USSR-Sbornik. 61(2). 289–307. 14 indexed citations

Markus, A. S. & V. Matsaev. (1987). Basis property of subsystems of eigen- and associated vectors of a self-adjoint operator pencil. Functional Analysis and Its Applications. 21(1). 73–75. 1 indexed citations

Markus, A. S. & V. Matsaev. (1985). A THEOREM ON COMPARISON OF SPECTRA, AND THE SPECTRAL ASYMPTOTICS FOR A KELDYSH PENCIL. Mathematics of the USSR-Sbornik. 51(2). 389–404. 9 indexed citations

10.

Markus, A. S., et al.. (1983). The change of the Jordan structure of a mtrix under small perturbations. Linear Algebra and its Applications. 54. 139–152. 33 indexed citations

11.

Markus, A. S. & Israel Feldman. (1977). Index of an operator matrix. Functional Analysis and Its Applications. 11(2). 149–151. 1 indexed citations

12.

Markus, A. S. & V. Matsaev. (1976). Factorization of a weakly hyperbolic bundle. Functional Analysis and Its Applications. 10(1). 69–71. 3 indexed citations

13.

Markus, A. S. & V. Matsaev. (1975). Spectral theory of holomorphic operator-functions in Hilbert space. Functional Analysis and Its Applications. 9(1). 73–74. 13 indexed citations

14.

Markus, A. S., et al.. (1974). Unitary spectrum of a contraction in Banach space. Journal of Mathematical Sciences. 2(2). 112–119. 2 indexed citations

15.

Markus, A. S., et al.. (1973). ON THE COMPLETEn-TUPLE OF ROOTS OF THE OPERATOR EQUATION CORRESPONDING TO A POLYNOMIAL OPERATOR BUNDLE. Mathematics of the USSR-Izvestiya. 7(5). 1105–1128. 13 indexed citations

16.

Markus, A. S., et al.. (1973). On the connection between the spectral properties of a polynomial bundle and of the roots of the corresponding operator equation. Functional Analysis and Its Applications. 7(1). 67–69. 2 indexed citations

17.

Markus, A. S., et al.. (1971). ANALOGS OF WEYL INEQUALITIES AND THE TRACE THEOREM IN BANACH SPACE. Mathematics of the USSR-Sbornik. 15(2). 299–312. 5 indexed citations

18.

Markus, A. S.. (1969). Bari bases of subspaces. Mathematical Notes. 5(4). 277–281. 1 indexed citations

19.

Markus, A. S.. (1967). The spectral theory of polynomial operator bundles in a banach space. Siberian Mathematical Journal. 8(6). 1022–1038. 5 indexed citations

20.

Markus, A. S.. (1964). THE EIGEN- AND SINGULAR VALUES OF THE SUM AND PRODUCT OF LINEAR OPERATORS. Russian Mathematical Surveys. 19(4). 91–120. 59 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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