Isometries for the vector (p,q) norm and the induced (p,q) norm

DOI10.1080/03081089508818368zbMath0830.15023OpenAlexW2048205257MaRDI QIDQ4853916

Chi-Kwong Li, Anne-Louise Klaus

Publication date: 11 December 1995

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

Full work available at URL: https://doi.org/10.1080/03081089508818368

zbMATH Keywords

Frobenius normlinear isometriesoperator normlinear space of matricesmaximum column sum normmaximum row sum 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 (10)

Hyperreflexivity constants of some spaces of matrices ⋮ Equivalence constants for certain matrix norms. II ⋮ Isometries for the induced \(c\)-norm on square matrices and some related results ⋮ Equivalence constants for certain matrix norms. ⋮ On the structure of finite-dimensional paracontractions ⋮ Equivalence constants for matrix norms: A problem of Goldberg ⋮ The isometries of certain maximum norms ⋮ Coherence measures induced by norm functions ⋮ Grothendieck constant is norm of Strassen matrix multiplication tensor ⋮ Multipoint secant and interpolation methods with nonmonotone line search for solving systems of nonlinear equations

Cites Work

• On \(l_{p_ 1,p_ 2}\) antinorms of nonnegative matrices
• Certain isometries on \(\mathbb{R}{}^ n\)
• Bounded groups and norm-Hermitian matrices
• Norme composee et norme associee généralisée d'une matrice
• Linear operators preserving unitarily invariant norms of matrices
• Matrix Analysis
• Matrices hermitian for an absolute norm
• Inequalities: theory of majorization and its applications

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