ON A GENERALIZED TRIF`S MAPPING IN BANACH MODULES OVER A C*-ALGEBRA
ON A GENERALIZED TRIF`S MAPPING IN BANACH MODULES OVER A C*-ALGEBRA
复制标题
论C*代数上Banach模的广义TRIF映射
DOI：
10.4134/jkms.2006.43.2.323
复制
发表时间：
2006
影响因子：
4.5
通讯作者：
T. Rassias
中科院分区：
文献类型：
--
作者：
Chun;T. Rassias
Let X and Y be vector spaces. It is shown that a mapping satisfies the functional equation $(\ddagger)\;+mn_{mn-2}C_{k-1}\;\sum\limits_{i=1}^n\;f(\frac {x_{mi-m+1}+...+x_{mi}} {m}) =k\;{\sum\limits_{1{\leq}i_1 is additive, and we prove the Cauchy-Rassias stability of the functional equation in Banach modules over a unital . Let A and B be unital or Lie . As an application, we show that every almost homomorphism h : of A into B is a homomorphism when for all unitaries , and d = 0,1,2,..., and that every almost linear almost multiplicative mapping is a homomorphism when h(2x)=2h(x) for all . Moreover, we prove the Cauchy-Rassias stability of homomorphisms in or in Lie , and of Lie derivations in Lie .
Let X and Y be vector spaces. It is shown that a mapping satisfies the functional equation $(\ddagger)\;+mn_{mn-2}C_{k-1}\;\sum\limits_{i=1}^n\;f(\frac {x_{mi-m+1}+...+x_{mi}} {m}) =k\;{\sum\limits_{1{\leq}i_1 is additive, and we prove the Cauchy-Rassias stability of the functional equation in Banach modules over a unital . Let A and B be unital or Lie . As an application, we show that every almost homomorphism h : of A into B is a homomorphism when for all unitaries , and d = 0,1,2,..., and that every almost linear almost multiplicative mapping is a homomorphism when h(2x)=2h(x) for all . Moreover, we prove the Cauchy-Rassias stability of homomorphisms in or in Lie , and of Lie derivations in Lie .