Rational procedures in the problem of common invariant subspaces of two matrices

DOI10.1023/A:1022446317512zbMath1031.15029OpenAlexW103292014MaRDI QIDQ1405642

Khakim D. Ikramov, Yurii A. Al'pin

Publication date: 1 September 2003

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1022446317512

zbMATH Keywords

matrix algebracommon invariant subspacesnoncommuting matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Invariant subspaces of linear operators (47A15)

Related Items (7)

EFFECTIVE METHODS IN INVESTIGATION OF IRREDUCIBLE QUANTUM OPERATIONS ⋮ On maps which preserve semipositivity and quantifier elimination theory for real numbers ⋮ Generalized Shemesh criterion, common invariant subspaces and irreducible completely positive superoperators ⋮ Ascending chains of ideals in the polynomial ring ⋮ Quantifier elimination theory and maps which preserve semipositivity ⋮ Triangularization of a Pair of Matrices over the Domain of Principal Ideals with Minimal Quadratic Polynomials ⋮ ON APPLICATIONS OF PI-ALGEBRAS IN THE ANALYSIS OF QUANTUM CHANNELS

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