Linear Operators Preserving Generalized Numerical Ranges and Radii on Certain Triangular Algebras of Matrices

DOI10.4153/CMB-2001-027-9zbMath0989.15011OpenAlexW2072649103MaRDI QIDQ2764785

Wai-Shun Cheung, Chi-Kwong Li

Publication date: 1 August 2002

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2001-027-9

zbMATH Keywords

\(c\)-numerical rangelinear preserversblock triangular matrixalgebras of matrices\(c\)-numerical radius

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear transformations, semilinear transformations (15A04) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

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Numerical Radius Isometries ⋮ Additive preservers of numerical range ⋮ Some linear preserver problems on block triangular matrix algebras ⋮ \(c\)-Numerical radius isometries on matrix algebras and triangular matrix algebras ⋮ Maps preserving the numerical radius distance between \(C^*\)-algebras ⋮ Coherence invariant mappings on block triangular matrix spaces