| Banach代数上导子的像和最简形式 |
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| 引用本文： | 刘俊平.Banach代数上导子的像和最简形式[J].华东师范大学学报(自然科学版),2007,2007(1):1-6. |
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| 作者姓名： | 刘俊平 |
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| 作者单位： | 华东师范大学,数学系,上海,200062 |
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| 基金项目： | 上海市重点学科建设项目 |
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| 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.
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| 关 键 词： | 线性导子 极小素理想 Jacobson根 |
| 文章编号： | 1000-5641（2007）01-0001-06 |
| 收稿时间： | 2005-08 |
| 修稿时间： | 2005-08 |
Image and Simple Form of a Derivation on a Banach Algebra(Chinese) |
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| LIU Jun-Ping.Image and Simple Form of a Derivation on a Banach Algebra(Chinese)[J].Journal of East China Normal University(Natural Science),2007,2007(1):1-6. |
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| Authors: | LIU Jun-Ping |
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| Institution: | Department of Mathematics, East China Normal University, Shanghai 200062, China |
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| 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 simple form of a linear derivation on an annihilator Banach algebra. |
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| Keywords: | linear derivation minimal prime ideal Jacobson radical |
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