## 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

Zbl 1036.39021
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