Linear maps compressing the polynomial numerical hulls of matrices

DOI10.1016/j.laa.2021.12.004zbMath1486.15034OpenAlexW4200164338MaRDI QIDQ2070837

Constantin Costara

Publication date: 24 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.12.004

zbMATH Keywords

matrix algebranumerical 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) Numerical range, numerical radius (47A12) Linear transformations, semilinear transformations (15A04) Linear preserver problems (15A86)

Cites Work

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• Linear preservers of polynomial numerical hulls of matrices
• Polynomial numerical hulls of matrices
• Positive operators and an inertia theorem
• Linear transformations which preserve Hermitian and positive semidefinite operators
• Linear transformations which preserve Hermitian matrices
• Linear Operators Preserving the Numerical Radius of Matrices
• Linear Transformations on Algebras of Matrices
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• On linear transformations preserving at least one eigenvalue

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