Numerical Radius Perserving Operators on B(H)

DOI10.2307/2161132zbMath0831.47025OpenAlexW2026249256MaRDI QIDQ4844468

Jor-Ting Chan

Publication date: 21 August 1995

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

Full work available at URL: https://doi.org/10.2307/2161132

zbMATH Keywords

linear isomorphism\(C^*\)-isomorphismnumerical radius-preservingvector space of all bounded linear operators

Mathematics Subject Classification ID

Numerical range, numerical radius (47A12) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (13)

On the joint numerical radius parallelism of operators ⋮ Rank-preserving multiplicative maps on \(B(X)\) ⋮ On a numerical radius preserving onto isometry on \(\mathcal{L}(X)\) ⋮ Maps preserving numerical radius or cross norms of products of self-adjoint operators ⋮ Schur product of matrices and numerical radius (range) preserving maps ⋮ Multiplicative preservers of higher-dimensional numerical ranges ⋮ The joint numerical radius on 𝐶*-algebras ⋮ Linear maps preserving numerical radius on nest algebras ⋮ Linear maps transforming the higher numerical ranges ⋮ Maps preserving numerical ranges of operator products ⋮ Nonlinear maps preserving numerical radius of indefinite skew products of operators ⋮ Multiplicative maps on \({\mathcal B}(X)\) ⋮ Preservers of radial unitary similarity functions on Lie products of self-adjoint operators

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