Preservers of radial unitary similarity functions on Lie products of self-adjoint operators

DOI10.1080/03081087.2020.1764901zbMath1481.47048OpenAlexW3026627510WikidataQ115299005 ScholiaQ115299005MaRDI QIDQ5860867

Qingsen Xu, Jin-Chuan Hou

Publication date: 24 November 2021

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

Full work available at URL: https://doi.org/10.1080/03081087.2020.1764901

zbMATH Keywords

numerical rangeLie productnumerical radiusSchatten \(p\)-normself-adjoint operatorspseudo spectrumpseudo spectral radius

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Spectral sets of linear operators (47A25) 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
• Maps on matrix spaces
• Preservers of pseudo spectral radius of operator products
• Numerical range of Lie product of operators
• Mappings that preserve pairs of operators with zero triple Jordan product
• Nonlinear maps preserving numerical radius of indefinite skew products of operators
• Numerical radius preserving operators on \(C^*\)-algebras
• Linear maps preserving the closure of numerical range on nest algebras with maximal atomic nest
• Non-linear numerical radius isometries on atomic nest algebras and diagonal algebras.
• Preservers of radial unitary similarity functions on products of operators
• Pseudospectra of special operators and pseudospectrum preservers
• Preservers of Radial unitary similarity functions on Jordan semi-triple products of self-adjoint operators
• Maps leaving functional values of operator products invariant
• Non-linear maps on self-adjoint operators preserving numerical radius and numerical range of Lie product
• Preservers of pseudo spectra of operator Jordan triple products
• Maps preserving numerical ranges of operator products
• Nonlinear commutativity preserving maps on self-adjoint operators
• Mappings on matrices: invariance of functional values of matrix products
• Chapter 6: linear preservers on numerical ranges, numerical radii and unitary similarity invariant norms
• Numerical radius distance-preserving maps on $\mathcal {B}(H)$
• Maps preserving numerical radius distance on C^*-algebras
• Numerical Radius Perserving Operators on B(H)
• 𝐶*-isomorphisms, Jordan isomorphisms, and numerical range preserving maps
• Maps preserving numerical radius and cross norms of operator products
• Product of operators and numerical range preserving maps
• On operator inequalities and linear combinations of operators

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