Linear preservers of polynomial numerical hulls of matrices

DOI10.1016/j.laa.2019.03.029zbMath1416.15021OpenAlexW2930961944WikidataQ128141092 ScholiaQ128141092MaRDI QIDQ2419058

Gholamreza Aghamollaei, Heydar Radjavi, Laurent W. Marcoux

Publication date: 29 May 2019

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

Full work available at URL: http://hdl.handle.net/10012/15728

zbMATH Keywords

numerical rangelinear preserverpolynomial numerical hull

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear preserver problems (15A86)

Related Items (2)

Linear maps preserving the polynomial numerical radius of matrices ⋮ Linear maps compressing the polynomial numerical hulls of matrices

Cites Work

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• Maps on matrices that preserve the spectrum
• Upper and lower bounds on norms of functions of matrices
• Fields of values and iterative methods
• The polynomial numerical hulls of Jordan blocks and related matrices.
• Generalizations of the field of values useful in the study of polynomial functions of a matrix
• Polynomial numerical hulls of matrices
• Linear Preserver Problems
• Linear Operators Preserving the Numerical Radius of Matrices
• Linear Transformations on Algebras of Matrices

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