Maps preserving the \(c\)-numerical radius of products for operators in \(\mathfrak{B}(\mathcal{H})\)

DOI10.1216/rmj.2020.50.2265OpenAlexW3118924440MaRDI QIDQ2219136

Yanfang Zhang, Xiao Chun Fang

Publication date: 19 January 2021

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1609815824

zbMATH Keywords

preserversunitary similarity invariant function\(c\)-numerical radiusdiameter of operators

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Preservers of unitary similarity functions on Lie products of matrices
• Maps preserving numerical radius or cross norms of products of self-adjoint operators
• Preservers of pseudo spectral radius of operator products
• Linear maps preserving the minimum and reduced minimum moduli
• Linear maps on the space of all bounded observables preserving maximal deviation.
• Preservers of radial unitary similarity functions on products of operators
• Linear mappings preserving the diameter of the numerical range
• Preservers of Radial unitary similarity functions on Jordan semi-triple products of self-adjoint operators
• The \(c\)-numerical range of operator products on \({\mathcal{B}}(H)\)
• \(A\)-numerical radius inequalities for semi-Hilbertian space operators
• Unitary similarity invariant function preservers of skew products of operators
• Maps leaving functional values of operator products invariant
• Notes on some spectral radius and numerical radius inequalities
• Diameter and minimal width of the numerical range
• The c-spectralc-radial and c-convex matrices
• Linear operators that preserve thec-numerical range or radius of matrices
• A generalization of Wigner’s unitary–antiunitary theorem to Hilbert modules
• Maps that preserve higher-dimensional numerical ranges with operator Jordan products
• Mappings preserving approximate orthogonality in Hilbert $C^*$-modules

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