The N-Isometric Isomorphisms in Linear N-Normed C^＊-Algebras

作     者：Chun-Gil PARK Themistocles M.RASSIAS 

作者机构：Department of MathematicsHanyang University Department of MathematicsNational Technical University of Athens 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2006年第22卷第6期

页      面：1863-1890页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The first author is supported by Korea Research Foundation Grant KRF-2005-041-C00027 

主　　题：Hyers-Ulam stability Trif's mapping linear N-normed Banach module over C^*-algebra,N-isometric isomorphism 

摘      要：We prove the Hyers-Ulam stability of linear N-isometries in linear N-normed Banach mod- ules 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 t：heir N-isometric homomorphisms.