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Isometric isomorphisms in proper CQ*-algebras.
- Source :
-
Acta Mathematica Sinica . Jul2009, Vol. 25 Issue 7, p1131-1138. 8p. - Publication Year :
- 2009
-
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]
- Subjects :
- *MATHEMATICAL analysis
*ALGEBRA
*SET theory
*MATHEMATICS
*COMPLEX variables
Subjects
Details
- Language :
- English
- ISSN :
- 14398516
- Volume :
- 25
- Issue :
- 7
- Database :
- Academic Search Index
- Journal :
- Acta Mathematica Sinica
- Publication Type :
- Academic Journal
- Accession number :
- 47488207
- Full Text :
- https://doi.org/10.1007/s10114-009-7454-7