Product of operators and numerical range preserving maps

DOI10.4064/sm174-2-4zbMath1098.47007OpenAlexW2038279978MaRDI QIDQ5478137

Nung-Sing Sze, Chi-Kwong Li

Publication date: 30 June 2006

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm174-2-4

zbMATH Keywords

numerical rangeJordan triple product

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Linear transformations, semilinear transformations (15A04) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (10)

Unitary similarity invariant function preservers of skew products of operators ⋮ Maps preserving numerical radius and cross norms of operator products ⋮ Maps preserving numerical radius or cross norms of products of self-adjoint operators ⋮ Maps preserving a Ky-Fan norm of Jordan product ⋮ Numerical range of Lie product of operators ⋮ Non-linear maps on self-adjoint operators preserving numerical radius and numerical range of Lie product ⋮ Mappings preserving the idempotency of products of operators ⋮ Nonlinear maps preserving numerical radius of indefinite skew products of operators ⋮ Maps preserving the pseudo spectrum of skew triple product of operators ⋮ Preservers of radial unitary similarity functions on Lie products of self-adjoint operators

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