Some isometries of rectangular complex matrices

DOI10.1080/03081088808817855zbMath0641.15005OpenAlexW2084306296MaRDI QIDQ3781857

Nam-Kiu Tsing, Chi-Kwong Li

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/03081088808817855

zbMATH Keywords

singular valuescomplex matricesunitarily invariant normsymmetric gauge function(p,k) norm

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Algebraic systems of matrices (15A30)

Related Items (6)

Some aspects of the theory of norms ⋮ Linear operators preserving certain functions on singular values of matrices ⋮ Chapter 5: linear preservers on functions of Singular values ⋮ On the extremal structure of least upper bound norms and their dual ⋮ Isometries for unitarily invariant norms ⋮ Consistency of invariance-based randomization tests

Cites Work

• Certain isometries of rectangular complex matrices
• Isometries of norm ideals of compact operators
• Linear transformations on matrices: The invariance of sets of ranks
• The isometries of \(C_p\)
• Isometries of matrix algebras
• \(c_ p\)
• Trace preserving mappings of matrix algebras
• A generalization of the unitary groups
• Inequalities: theory of majorization and its applications

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