On positive linear maps preserving invertibility

DOI10.1016/0022-1236(84)90060-0zbMath0551.46040OpenAlexW2038621520MaRDI QIDQ801266

Heydar Radjavi, Eric Nordgren, Man-Duen Choi, Peter Rosenthal, Donald W. Hadwin

Publication date: 1984

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(84)90060-0

zbMATH Keywords

positive linear mapJordan homomorphism

Mathematics Subject Classification ID

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

Related Items (18)

Linear maps between Banach algebras compressing certain spectral functions ⋮ Positive elementary operators compressing spectrum ⋮ Some results around quadratic maps ⋮ Maps completely preserving spectral functions ⋮ Linear maps preserving invertibility or related spectral properties ⋮ Invertibility preserving linear maps on ℒ(𝒳) ⋮ Linear maps preserving ideals of $C^{*}$-algebras ⋮ Spectrum-preserving additive maps ⋮ Affine mappings of invertible operators ⋮ Witnessing nonseparability of bipartite quantum operations ⋮ On maps compressing the numerical range between \(C^*\)-algebras ⋮ 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 ⋮ On operators preserving the numerical range ⋮ Approximate preservers on Banach algebras and \(C^*\)-algebras ⋮ Linear maps preserving the minimum and reduced minimum moduli ⋮ Spectrum-preserving linear maps

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