Hyers-Ulam-Rassias stability of isometric homomorphisms in quasi-Banach algebras. (English) Zbl 1144.39025

Lee, Sang-Hyuk; Park, Choonkil

J. Comput. Anal. Appl. 10, No. 1, 39-51 (2008).

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.

Reviewer: László Losonczi (Debrecen)

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

Keywords:

Hyers-Ulam-Rassias stability; quasi-Banach algebra; isometric isomorphism; Cauchy functional equation; Jensen functional equations