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On *-homomorphisms between \(JC^*\)-algebras. (English) Zbl 1144.47033

The authors prove the Hyers–Ulam–Rassias stability of \(*\)-homomorphims between unital closed Jordan \(*\)-subalgebras of unital \(C^*\)-algebras.

MSC:

47B48 Linear operators on Banach algebras
39B52 Functional equations for functions with more general domains and/or ranges
39B82 Stability, separation, extension, and related topics for functional equations
17C65 Jordan structures on Banach spaces and algebras
46K99 Topological (rings and) algebras with an involution