p. 277 - 286 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. PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2011, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |