A characterization of homomorphisms between Banach algebras

DOI10.1007/s10114-004-0312-8zbMath1076.46037OpenAlexW2108094021MaRDI QIDQ705112

Jin-Chuan Hou, Jian Lian Cui

Publication date: 25 January 2005

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0312-8

zbMATH Keywords

invertibility preservingspectrum compressingunital linear mappings

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of topological algebras (46H05)

Related Items (14)

Automatic continuity of biorthogonality preservers between compact \(C^*\)-algebras and von Neumann algebras ⋮ Maps completely preserving spectral functions ⋮ Linear maps preserving invertibility or related spectral properties ⋮ Maps completely preserving involutions and maps completely preserving Drazin inverse ⋮ Maps preserving peripheral spectrum of generalized Jordan products of self-adjoint operators ⋮ A note on spectrum-preserving maps ⋮ Linear maps between C*-algebras that are *-homomorphisms at a fixed point ⋮ Additive maps between standard operator algebras compressing certain spectral functions ⋮ Maps preserving peripheral spectrum of Jordan semi-triple products of operators ⋮ Maps completely preserving idempotents and maps completely preserving square-zero operators ⋮ Characterizing isomorphisms in terms of completely preserving invertibility or spectrum ⋮ Multiplicative mappings at some points on matrix algebras ⋮ Maps preserving peripheral spectrum of generalized products of operators ⋮ Maps completely preserving commutativity and maps completely preserving Jordan zero-product

Cites Work

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• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Spectrum preserving linear mappings in Banach algebras
• Point-spectrum-preserving elementary operators on 𝐵(𝐻)
• Invertibility preserving linear maps on ℒ(𝒳)
• Affine mappings of invertible operators
• A characterization of maximal ideals in commutative Banach algebras
• Linear Mappings of Operator Algebras

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