华东师范大学学报(自然科学版) ›› 2007, Vol. 2007 ›› Issue (1): 1-6.

• 数学 •    下一篇

Banach 代数上导子的像和最简形式

刘俊平   

  1. 华东师范大学 数学系，上海 200062
  • 收稿日期:2005-08-25 修回日期:2005-12-12 出版日期:2007-01-25 发布日期:2007-01-25
  • 通讯作者: 刘俊平

Image and Simple Form of a Derivation on a Banach Algebra(Chinese)

LIU Jun-Ping   

  1. Department of Mathematics, East China Normal University, Shanghai 200062, China
  • Received:2005-08-25 Revised:2005-12-12 Online:2007-01-25 Published:2007-01-25
  • Contact: LIU Jun-Ping

摘要： 证实了 J. Vukman 关于非交换 Banach 代数上线性导子像的猜测; 给出了复 Banach 代数上线性导子映代数入其 Jacobson 根的几个充分条件和线性导子具有最简形式的充要条件.

关键词: 线性导子, 极小素理想, Jacobson 根, 线性导子, 极小素理想, Jacobson 根

Abstract: This paper proved Vukman's conjecture concerning the image of a linear derivation on a Banach algebra, gave some sufficient conditions that the image of a linear derivation on complex Banach algebra was in the Jacobson radical, and also discussed the simpleorm of a linear derivation on an annihilator Banach algebra.

Key words: minimal prime ideal, Jacobson radical, linear derivation, minimal prime ideal, Jacobson radical

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