Resolvents of operators on tensor products of Euclidean spaces

DOI10.1080/03081087.2015.1083934zbMath1345.15005OpenAlexW2244956885MaRDI QIDQ2805656

Michael I. Gil'

Publication date: 12 May 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2015.1083934

zbMATH Keywords

stabilityresolventinvariant subspacedifferential equationKronecker productmatrix equationnorm estimatescalar productEuclidean spaces

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Stability of solutions to ordinary differential equations (34D20) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Multilinear algebra, tensor calculus (15A69)

Related Items

Norm estimates for functions of a Hilbert-Schmidt operator nonregular on the convex hull of the spectrum ⋮ Norm estimates for functions of non-selfadjoint operators nonregular on the convex hull of the spectrum ⋮ SIMILARITY OF OPERATORS ON TENSOR PRODUCTS OF SPACES AND MATRIX DIFFERENTIAL OPERATORS ⋮ Unnamed Item ⋮ Analytic functional calculus for two operators ⋮ An estimate for the number of eigenvalues of a Hilbert-Schmidt operator in a half-plane

Cites Work

• Unnamed Item
• The rotation of eigenspaces of perturbed matrix pairs
• Operator functions and localization of spectra
• Linear transformations between matrix spaces that map one rank specific set into another
• On the decay of the inverse of matrices that are sum of Kronecker products
• A note on the perturbation bounds of eigenspaces for Hermitian matrices
• On Kronecker products, tensor products and matrix differential calculus
• On the solution to the Sylvester matrix equation AV+BW=EVF
• Some new bounds on perturbation of subspaces

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