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Isometric Isomorphisms in Proper CQ*-algebras
- Authors
- Park, Choonkil; An, Jong Su
- Issue Date
- Jul-2009
- Publisher
- Springer Verlag
- Keywords
- Cauchy-Jensen functional equation; Hyers-Ulam-Rassias stability; isometric isomorphism in proper CQ*-algebras
- Citation
- Acta Mathematica Sinica, English Series, v.25, no.7, pp 1131 - 1138
- Pages
- 8
- Indexed
- SCIE
SCOPUS
- Journal Title
- Acta Mathematica Sinica, English Series
- Volume
- 25
- Number
- 7
- Start Page
- 1131
- End Page
- 1138
- ISSN
- 1439-8516
1439-7617
- 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: 2f(x(1) + x(2)/2 + y) = f(x(1)) + f(x(2)) + 2f(y). 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.
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