A class of unitarily invariant norms on 𝐵(𝐻)

DOI10.1090/S0002-9939-00-05692-6zbMath0963.47013MaRDI QIDQ2701583

Chi-Kwong Li, Jor-Ting Chan, Charlies Tu

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

extreme pointSchatten classesunitarily invariant normsisometric isomorphism\(s\)-numberexposed point

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Abstract operator algebras on Hilbert spaces (47L30)

Related Items

Unitarily invariant norms on operators ⋮ \(G\)-invariant norms and bicircular projections ⋮ Transformations preserving norms of means of positive operators and nonnegative functions ⋮ Nonlinear isometries on Schatten-\(p\) class in atomic nest algebras ⋮ Transformations of the unitary group on a Hilbert space ⋮ Some singular value inequalities via convexity ⋮ Examples and applications of generalized gyrovector spaces ⋮ Maps leaving functional values of operator products invariant ⋮ Preservers of radial unitary similarity functions on products of operators ⋮ Algebraic and invariance properties of the group of isometries ⋮ Isometries for unitarily invariant norms ⋮ Generalized isometries of the special unitary group ⋮ Operators polynomially isometric to a normal operator

Cites Work

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• Isometries of operator algebras
• Linear operators preserving unitarily invariant norms of matrices
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• Matrix Analysis
• The unitary group preserving maps (the infinite dimensional case)
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
• Some Metric Inequalities in the Space of Matrices

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