1. Isometric isomorphisms in proper CQ*-algebras.
- Author
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Choonkil Park and Jong Su An
- Subjects
- *
MATHEMATICAL analysis , *ALGEBRA , *SET theory , *MATHEMATICS , *COMPLEX variables - Abstract
In this paper, we prove the Hyers-Ulam-Rassias stability of isometric homomorphisms in proper CQ*-algebras for the following Cauchy-Jensen additive mapping: The concept of Hyers-Ulam-Rassias stability originated from the Th.M. Rassias’ stability theorem that appeared in the paper: On the stability of the linear mapping in Banach spaces, Proc. Amer. Math. Soc., 72 (1978), 297–300. This is applied to investigate isometric isomorphisms between proper CQ*-algebras. [ABSTRACT FROM AUTHOR]
- Published
- 2009
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