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Homomorphisms between \(C^*\)-algebras associated with the Trif functional equation and linear derivations on \(C^*\)-algebras. (English) Zbl 1058.39025

The authors apply some results of T. Trif [J. Math. Appl. 272, No. 2, 604-616 (2002; Zbl 1036.39021)] concerning the stability of functional equations to that of \(*\)-homomorphisms between \(C^*\)-algebras and of linear derivations on \(C^*\)-algebras. The case of \(C^*\)-algebras of real rank zero is also considered.

MSC:

39B82 Stability, separation, extension, and related topics for functional equations
46L05 General theory of \(C^*\)-algebras
39B52 Functional equations for functions with more general domains and/or ranges
47C10 Linear operators in \({}^*\)-algebras

Citations:

Zbl 1036.39021
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