Affine mappings of invertible operators

DOI10.1090/S0002-9939-96-03445-4zbMath0864.46035OpenAlexW1983481138MaRDI QIDQ4896158

Richard V. Kadison, Lawrence A. Harris

Publication date: 4 December 1996

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-96-03445-4

zbMATH Keywords

\(C^*\)-algebraaffine mappingssemisimplegroups of invertible elements of Banach algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items (6)

On a positive linear map preserving absolute values ⋮ Linear maps preserving invertibility or related spectral properties ⋮ Jordan isomorphisms as preservers ⋮ An extension of the Gleason-Kahane-Żelazko theorem: A possible approach to Kaplansky's problem ⋮ Holomorphic mappings of domains in operator spaces ⋮ A characterization of homomorphisms between Banach algebras

Cites Work

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• On positive linear maps preserving invertibility
• Spectrum-preserving linear maps
• Schurian algebras and spectral additivity
• Determinant theory in finite factors
• Linear Transformations on Algebras of Matrices: The Invariance of the Elementary Symmetric Functions
• Linear Mappings of Operator Algebras
• Linear transformations on matrices

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