Linear maps preserving ideals of $C^{*}$-algebras

DOI10.1090/S0002-9939-00-06003-2zbMath0968.46055OpenAlexW1591747643MaRDI QIDQ2706579

Sang Og Kim

Publication date: 20 March 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-06003-2

zbMATH Keywords

matrix algebrasderivationminimal idealmaximal left idealsabelian \(C^*\)-algebrasselfadjoint linear bijectionstype \(II_1\) factors

Mathematics Subject Classification ID

Commutators, derivations, elementary operators, etc. (47B47) Classifications of (C^*)-algebras (46L35) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (2)

Linear disjointness preservers of W\(^\ast\)-algebras ⋮ Linear maps preserving ideals of C*-algebras

Cites Work

• On positive linear maps preserving invertibility
• Some linear preserver problems on \(B(H)\) concerning rank and corank
• On the Jordan Structure of C ∗ -Algebras
• Centralisers and Operators Reduced By Maximal Ideals

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