Linear transformations on that preserve the Ky Fank-norm and a remarkable special case when (nk) = (4, 2)

DOI10.1080/03081088808817882zbMath0658.15029OpenAlexW2007680123WikidataQ126251256 ScholiaQ126251256MaRDI QIDQ3807371

Charles R. Johnson, Chi-Kwong Li, Thomas J. Laffey

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/03081088808817882

zbMATH Keywords

linear preserverKy Fan k-norm

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

Related Items (14)

An elementary, first principles approach to the indefinite spin groups ⋮ Some aspects of the theory of norms ⋮ A special linear operator on ⋮ An algorithm to compute the polar decomposition of a \(3 \times 3\) matrix ⋮ Duality between some linear preserver problems. II: Isometries with respect to c-spectral norms and matrices with fixed singular values ⋮ Linear operators preserving certain functions on singular values of matrices ⋮ On isometries of matrix spaces ⋮ Chapter 5: linear preservers on functions of Singular values ⋮ Linear maps preserving parallel matrix pairs with respect to the Ky-Fan \(k\)-norm ⋮ The minimal polynomial of some matrices via quaternions ⋮ Duality between some linear preserver problems. III: c-spectral norms and (skew)-symmetric matrices with fixed singular values ⋮ Isometries for unitarily invariant norms ⋮ On square roots of isometries ⋮ Overgroups of some classical linear groups with applications to linear preserver problems

Cites Work

• Isometries of matrix algebras
• Trace preserving mappings of matrix algebras
• Linear Transformations Preserving the Real Orthogonal Group
• Linear transformations on tensor spaces
• Matrix Analysis
• Linear operators preserving the higher numerical radius of matrices
• Analytical characterization of displacements in general Poincaré space
• Matrix groups

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