Orthogonality preserving linear maps on \(C^{\ast }\)-algebras with non-zero socles

DOI10.1016/j.jmaa.2012.11.026zbMath1279.47059OpenAlexW2042091417MaRDI QIDQ1947435

Yanyan Li

Publication date: 22 April 2013

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.11.026

zbMATH Keywords

linear preserverssocleJordan homomorphism\(\mathbb{C}^\ast\)-algebras

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Jordan structures on Banach spaces and algebras (17C65) Automorphisms of selfadjoint operator algebras (46L40) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (4)

One-parameter groups of orthogonality preservers on \(C^*\)-algebras ⋮ On mappings preserving the sharp and star orders ⋮ Infinite dimensional orthogonality preserving nonlinear Markov operators ⋮ A linear preserver problem on maps which are triple derivable at orthogonal pairs

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