Duality between some linear preserver problems. III: c-spectral norms and (skew)-symmetric matrices with fixed singular values

DOI10.1016/0024-3795(91)90007-JzbMath0712.15028WikidataQ127720579 ScholiaQ127720579MaRDI QIDQ923680

Chi-Kwong Li, Nam-Kiu Tsing

Publication date: 1991

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

zbMATH Keywords

extreme pointsisometrylinear preserversingular valuesskew-symmetric matricesmatrix spacec-spectral norms

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Linear transformations, semilinear transformations (15A04)

Related Items (14)

Some aspects of the theory of norms ⋮ Linear maps relating different unitary similarity orbits or different generalized numerical ranges ⋮ Isometries of the special orthogonal group ⋮ Chapter 5: linear preservers on functions of Singular values ⋮ Chapter 7: linear preservers of relations on Matrix Spaces ⋮ On isometry groups of self-adjoint traceless and skew-symmetric matrices ⋮ Graph rigidity for unitarily invariant matrix norms ⋮ \(c\)-spectral isometries of skew-symmetric matrices: the eight dimensional case ⋮ Simple Lie groups stabilizing \(G\)-invariant norms ⋮ Linear preserver problems: A brief introduction and some special techniques ⋮ On certain generalized isometries of the special orthogonal group ⋮ Examples and applications of generalized gyrovector spaces ⋮ Isometries for unitarily invariant norms ⋮ On square roots of isometries

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