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Isometries and Isomorphisms in quasi-Banach algebras
Zhihua Wang and Wanxiong Zhang
Received: January 25, 2011; Accepted: February 15, 2011
Abstract. In this paper, we prove the Hyers-Ulam-Rassias stability of isometries and of homomorphisms for additive functional equations in quasi-Banach algebras. This is applied to investigate isomorphisms between quasi-Banach algebras.
Keywords: Hyers-Ulam-Rassias stability; isometry; isomorphism; quasi-Banach algebra.
AMS Subject classification: Primary: 46B03, 47B48, 39B72.
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