含单位元Banach代数的广义左导子与广义导子的超稳定性(英文)  

Superstability for generalized left derivations and generalized derivations on a unital Banach algebra

作　　者：赵建堂[1] 曹怀信[2] 

机构地区：[1]咸阳师范学院数学与信息科学学院,陕西咸阳712000 [2]陕西师范大学数学与信息科学学院,陕西西安710062

出　　处：《纺织高校基础科学学报》2009年第3期349-354,共6页Basic Sciences Journal of Textile Universities

基　　金：Supported by the NNSFs of China(10571113,10871224)

摘　　要：应用广义左导子和广义导子的相关概念,讨论了在含单位元的Banach代数上的广义左导子与广义导子的超稳定性,并在此基础上给出广义左导子与广义导子线性性的一些结论.所得结果推广了2008年S.-Y.Kang和I.-S.Chang给出的相关结果.The conceptions of generalized left derivation and generalized derivation are applied, and the superstability of generalized left derivations and generalized derivations on a unital Banach algebra are discussed. Based on these, some results of the linear properties of generalized left derivations and generalized derivations are given. The results obtained in this note generalize the related results given by S. -Y. Kang and I. -S. Chang in 2008.

关 键 词：超稳定性 广义左导子 广义导子 导子 BANACH代数 

分 类 号：O177.1[理学—数学]