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The N-isometric isomorphisms in linear N-normed C*-algebras
- Issue Date
- Nov-2006
- Publisher
- Springer Verlag
- Keywords
- Hyers-Ulam stability; Trif's mapping; linear N-normed Banach module over C*-algebra; N-isometric isomorphism
- Citation
- Acta Mathematica Sinica, English Series, v.22, no.6, pp 1863 - 1890
- Pages
- 28
- Indexed
- SCIE
SCOPUS
- Journal Title
- Acta Mathematica Sinica, English Series
- Volume
- 22
- Number
- 6
- Start Page
- 1863
- End Page
- 1890
- ISSN
- 1439-8516
1439-7617
- Abstract
- We prove the Hyers-Ulam stability of linear N-isometries in linear N-normed Banach modules over a unital C*-algebra. The main purpose of this paper is to investigate N-isometric C*-algebra isomorphisms between linear N-normed C*-algebras, N-isometric Poisson C*-algebra isomorphisms between linear N-normed Poisson C*-algebras, N-isometric Lie C*-algebra isomorphisms between linear N-normed Lie C*-algebras, N-isometric Poisson JC*-algebra isomorphisms between linear N-normed Poisson JC*-algebras, and N-isometric Lie JC*-algebra isomorphisms between linear N-normed Lie JC*-algebras. Moreover, we prove the Hyers-Ulam stability of their N-isometric homomorphisms.
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