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Hyers-Ulam-Rassias stability of isometric homomorphisms in quasi-Banach algebras. (English) Zbl 1144.39025
The authors prove the Hyers-Ulam-Rassias stability of isometric homomorphisms in quasi-Banach algebras, related to the Cauchy and Jensen functional equations. They also study isometric isomorphisms between quasi-Banach algebras.

MSC:
39B82 Stability, separation, extension, and related topics for functional equations
39B52 Functional equations for functions with more general domains and/or ranges
46B03 Isomorphic theory (including renorming) of Banach spaces
46B04 Isometric theory of Banach spaces
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