Positive elementary operators compressing spectrum

DOI10.1007/BF02882457zbMath0939.47030OpenAlexW2006723284MaRDI QIDQ1370173

Jin-Chuan Hou, Xiu-Ling Zhang

Publication date: 5 July 2000

Published in: Chinese Science Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02882457

zbMATH Keywords

spectrum-preserving positive elementary operators

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Commutators, derivations, elementary operators, etc. (47B47) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (8)

Linear maps between Banach algebras compressing certain spectral functions ⋮ Maps preserving the spectrum of generalized Jordan product of operators ⋮ Additive maps on standard operator algebras preserving parts of the spectrum. ⋮ Linear maps preserving invertibility or related spectral properties ⋮ Additive maps between standard operator algebras compressing certain spectral functions ⋮ A characterization of homomorphisms between Banach algebras ⋮ Characterizing isomorphisms in terms of completely preserving invertibility or spectrum ⋮ Multiplicative maps on \({\mathcal B}(X)\)

Cites Work

• Unnamed Item
• On positive linear maps preserving invertibility
• Spectrum-preserving linear maps
• Linear preserver problems: A brief introduction and some special techniques
• Reflexivity, Algebraic Reflexivity and Linear Interpolation
• Two characterizations of automorphisms on B(X)
• On the Jordan Structure of C ∗ -Algebras
• Rank-preserving linear maps on B(X)

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