Matrix norms and their applications. Transl. from the Russian by A. Iacob

zbMath0645.15019MaRDI QIDQ1210842

Yuri I. Lyubich, Genrich Belitskii

Publication date: 5 June 1993

Published in: Operator Theory: Advances and Applications (Search for Journal in Brave)

zbMATH Keywords

interpolation of operatorsmatrix normscombinatorial propertieslattices of subalgebrascross-normsfinite-dimensional normed spacesminimal ring normsorder automorphisms of ring normsorthogonally invariant normsspectral properties of contractions

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Ordered rings, algebras, modules (06F25) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to linear algebra (15-01)

Related Items (11)

Exponential numbers of linear operators in normed spaces ⋮ Markus-Yamabe conjecture for non-autonomous dynamical systems ⋮ Tail indices for \(AX+B\) recursion with triangular matrices ⋮ Remarks on the Belitskii-Lyubich and discrete Markus-Yamabe conjectures ⋮ Convergence to equilibrium for linear parabolic systems coupled by matrix‐valued potentials ⋮ Extreme value analysis for the sample autocovariance matrices of heavy-tailed multivariate time series ⋮ On minimal norms on \(M_{n}\) ⋮ A gap result for the norms of semigroups of matrices ⋮ A model for the convective cooling of electronic components with application to optimal placement ⋮ A novel approach to stochastic input-output modeling ⋮ Belitskii-Lyubich conjecture for \(C\)-analytic dynamical systems

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