广义Jordan-导子和Jordan-同态的稳定性的刻画

J4 ›› 2008, Vol. 43 ›› Issue (12): 77-79.

广义Jordan-导子和Jordan-同态的稳定性的刻画

孙亮吉

陕西职业技术学院计算机科学系, 陕西西安 710100

收稿日期:2007-12-07 出版日期:2008-12-16 发布日期:2009-11-09
通讯作者: 孙亮吉 liangji123@sohu.com.cn

Characterizations of the stability of generalized Jordan-derivations and Jordan-homomorphisms

SUN Liang-Ji

Computer Science Department, Shaanxi Insititute of Ocational and Technical, Xi’an 710100, Shaanxi, China

Received:2007-12-07 Online:2008-12-16 Published:2009-11-09

摘要/Abstract

摘要：

设A是一个含单位元I的Banach代数。讨论了A上的广义Jordan-导子在广义Hyers-Ulam-Rassias条件下的稳定性的问题,以及A上的Jordan-同态在广义 Hyers-Ulam-Rassias条件下的稳定性问题。

关键词: 广义Jordan-导子; Jordan-同态; 稳定性

Abstract:

Let A be a unital Banach algebra, the generalized Hyers-Ulam-Rassias stability of generalized Jordan-derivations on unital Banach algebras, and the generalized Hyers-Ulam-Rassias stability of Jordanhomomorphisms on unital Banach algebras were discussed.

Key words: generalized Jordanderivations; Jordan-homomorphisms; stability

中图分类号:

O171

孙亮吉. 广义Jordan-导子和Jordan-同态的稳定性的刻画[J]. J4, 2008, 43(12): 77-79.

SUN Liang-Ji. Characterizations of the stability of generalized Jordan-derivations and Jordan-homomorphisms[J]. J4, 2008, 43(12): 77-79.

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