ISOMORPHISMS AND DERIVATIONS IN C*-ALGEBRAS

被引：0
作者：
Lee, Jung-Rye [1 ]
Shin, Dong-Yun [2 ]
机构：
[1] Daejin Univ, Dept Math, Kyeonggi 487711, South Korea
[2] Univ Seoul, Dept Math, Seoul 130743, South Korea
来源：
ACTA MATHEMATICA SCIENTIA | 2011年 / 31卷 / 01期
关键词：
Jordan-von Neumann type Cauchy-Jensen functional equation; C*-algebra isomorphism; Lie C*-algebra isomorphism; JC*-algebra isomorphism; Hyers-Ulam-Rassias stability; Cauchy-Jensen functional inequality; derivation; APPROXIMATELY ADDITIVE MAPPINGS; ULAM-RASSIAS STABILITY; FUNCTIONAL-EQUATIONS; BANACH MODULES; HOMOMORPHISMS; SPACES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we prove the Hyers-Ulam-Rassias stability of the following Cauchy-Jensen functional inequality: parallel to f(x) + f (y) + 2f(z) + 2f(w)parallel to <= parallel to 2f (x+y/2 + z + w)parallel to (0.1) This is applied to investigate isomorphisms between C*-algebras, Lie C*-algebras and JC*-algebras, and derivations on C*-algebras, Lie C*-algebras and JC*-algebras, associated with the Cauchy-Jensen functional equation 2f (x + y/2 + z + w) = f(x) + f(y) + 2f(z) + 2f(w). (0.2)
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页码：309 / 320
页数：12
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