Preservers of eigenvalue inclusion sets of matrix products

DOI10.1016/j.laa.2010.08.016zbMath1208.15022OpenAlexW2153618130MaRDI QIDQ609504

Aaron Herman, Virginia Forstall, Nung-Sing Sze, Vincent Yannello, Chi-Kwong Li

Publication date: 1 December 2010

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

Full work available at URL: https://scholarworks.wm.edu/cgi/viewcontent.cgi?article=2498&context=aspubs

zbMATH Keywords

matrix productspreserverseigenvalue inclusion setsBrauer setCassini ovalsGershgorin regionOstrowski set

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Linear preserver problems (15A86)

Related Items

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Cites Work

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• Maps on matrix spaces
• Preservers of eigenvalue inclusion sets
• Multiplicative preservers on semigroups of matrices
• Limits for the characteristic roots of a matrix. II
• Linear Preserver Problems
• Linear Transformations on Algebras of Matrices
• Mappings on matrices: invariance of functional values of matrix products
• Mappings preserving spectra of products of matrices
• Matrix Analysis
• Jordan isomorphisms and maps preserving spectra of certain operator products
• Algebra isomorphisms between standard operator algebras

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