Strongly preserver problems in Banach algebras and \(C^{\ast}\)-algebras

DOI10.1016/j.laa.2012.04.019zbMath1259.47049OpenAlexW2033469501MaRDI QIDQ442679

María J. Burgos, Antonio Morales Campoy, Antonio C. Márquez-García

Publication date: 3 August 2012

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2012.04.019

zbMATH Keywords

Drazin inverseBanach algebrastriple homomorphism\(C^{\ast }\)-algebrasstrongly preserver problems

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Automorphisms of selfadjoint operator algebras (46L40) Topological algebras, normed rings and algebras, Banach algebras (46H99) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

Pointwise-generalized-inverses of linear maps between C^*-algebras and JB^*-triples ⋮ Linear maps between \(C^*\)-algebras preserving extreme points and strongly linear preservers ⋮ The Drazin inverses of infinite triangular matrices and their linear preservers ⋮ A generalization of strongly preserver problems of Drazin invertibility ⋮ Determining Jordan (triple) homomorphisms by invertibility preserving conditions ⋮ Approximate preservers on Banach algebras and \(C^*\)-algebras

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