| 可数生成子代数的自反性,分离向量和自反性 |
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| 引用本文： | 胡荣,简志宏,陈全圆. 可数生成子代数的自反性,分离向量和自反性[J]. 景德镇高专学报, 2004, 19(4): 10-12 |
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| 作者姓名： | 胡荣 简志宏 陈全圆 |
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| 作者单位： | 景德镇陶瓷学院信息工程学院,江西,景德镇,333001 |
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| 摘 要： | 设A是B(X,H)的可数生成子代数,本文验证了A在什么条件下是(拓扑)代数自反的,得到两个重要结论:1、若AF={0},则A是(拓扑)代数自反的;2、若AF具有有限维支撑,则A是(拓扑)代数自反的充要条件是AF是(拓扑)代数自反的.
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| 关 键 词： | (拓扑)代数自反 分离向量 (拓扑)代数自反包 |
| 文章编号： | 1008-8458(2004)04-0010-03 |
| 修稿时间： | 2004-10-20 |
The Reflexivity of an Accountable Generated Algebra,Separate Vector and Reflexivity |
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| HU Rong JIAN Zhi-hong CHEN Quan-yuan. The Reflexivity of an Accountable Generated Algebra,Separate Vector and Reflexivity[J]. Jingdezhen Comprehensive College Journal, 2004, 19(4): 10-12 |
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| Authors: | HU Rong JIAN Zhi-hong CHEN Quan-yuan |
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| Abstract: | A is an accountable generated algebra of B (X, H). We proved A is (topologically) algebraically reflexive under what condition. Two important results are obtained in this article. One is that if AF = {0}, then A is (topologically) algebraically reflexive. The other is that if the support of AF has definite dimension, then A is (topologically) algebraically reflexive if AF is (topologically) algebraically reflexive. |
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| Keywords: | ((topologically) algebraically) reflexive separate vector ((topologically) algebraically) reflexive closure |
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