Maps preserving peripheral spectrum of generalized Jordan products of self-adjoint operators

DOI10.1155/2014/192040zbMath1472.47027OpenAlexW1968693558WikidataQ59035931 ScholiaQ59035931MaRDI QIDQ1722318

Wen Zhang, Jin-Chuan Hou

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/192040

zbMATH Keywords

peripheral spectrumgeneralized Jordan product

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Numerical range, numerical radius (47A12) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

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Cites Work

• Maps preserving peripheral spectrum of Jordan semi-triple products of operators
• Maps preserving numerical radius or cross norms of products of self-adjoint operators
• A characterization of homomorphisms between Banach algebras
• Maps preserving the spectrum of generalized Jordan product of operators
• Maps preserving peripheral spectrum of generalized Jordan products of operators
• A generalization of peripherally-multiplicative surjections between standard operator algebras
• Additive maps on standard operator algebras preserving parts of the spectrum.
• Linear maps between Banach algebras compressing certain spectral functions
• Maps preserving peripheral spectrum of generalized products of operators
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Spectrum preserving linear mappings in Banach algebras
• Uniform algebra isomorphisms and peripheral multiplicativity
• Jordan isomorphisms and maps preserving spectra of certain operator products
• Algebra isomorphisms between standard operator algebras
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