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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
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:
- linear derivationminimal prime idealJacobson radical /
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