Certain isometries on \(\mathbb{R}{}^ n\)

DOI10.1016/0024-3795(92)90241-2zbMath0743.15013OpenAlexW1990070915WikidataQ127191034 ScholiaQ127191034MaRDI QIDQ1184490

Stanley S. Chang, Chi-Kwong Li

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0024-3795(92)90241-2

zbMATH Keywords

isometry\((p,k)\)-norms\(c\)-norms

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear transformations, semilinear transformations (15A04)

Related Items (12)

Some aspects of the theory of norms ⋮ Isometries for the induced \(c\)-norm on square matrices and some related results ⋮ Isometries for the vector (p,q) norm and the induced (p,q) norm ⋮ On the Leibniz rule for random variables ⋮ The isometries and the \(G\)-invariance of certain seminorms. ⋮ On uniform Bishop-Phelps-Bollobás type approximations of linear operators and preservation of geometric properties ⋮ The isometries of certain maximum norms ⋮ The faces of the unit balls of \(c\)-norms and \(c\)-spectral norms ⋮ Contractive projections and isometries in sequence spaces ⋮ Characterization of symmetric points in lpn-spaces ⋮ Faces and traces of the unit ball of a symmetric gauge function ⋮ Faces of the unit ball of a unitarily invariant norm

Cites Work

• G-invariant norms and G(c)-radii
• Bounded groups and norm-Hermitian matrices
• Linear operators preserving unitarily invariant norms of matrices
• Matrix Analysis

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