| 关于弱紧算子与紧算子分解的注记 |
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| 引用本文： | 金渝光,陈滋利.关于弱紧算子与紧算子分解的注记[J].西南交通大学学报,2001,36(2):217-219. |
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| 作者姓名： | 金渝光 陈滋利 |
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| 作者单位： | 1. 重庆师范学院数学与计算机科学系， 重庆 400047
2. 西南交通大学应用数学系， 四川 成都 610031 |
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| 摘 要： | 主要讨论Banach格之间弱紧算子与紧算子通过自反Banach格来分解的问题，在已有结果相同的条件下证明了Banach格之间弱紧算子与紧算子由Banach格来分解的一个更具对称形式的分解定理。
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| 关 键 词： | 弱紧算子 紧算子 Banach格 自反Banach格 分解定理 Banach空间 格同态 |
| 文章编号： | 0258-2724（2001）02-0217-03 |
Notes on the Factorizations of Compact
and Weakly Compact Operators |
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| JIN Yu-guang ,CHEN Zi-li.Notes on the Factorizations of Compact
and Weakly Compact Operators[J].Journal of Southwest Jiaotong University,2001,36(2):217-219. |
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| Authors: | JIN Yu-guang CHEN Zi-li |
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| Institution: | JIN Yu-guang 1,CHEN Zi-li 2 |
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| Abstract: | This work is devoted to the factorization problems for compact and weakly compact operators between Banach lattices. Under the same known conditions, a more symmetric form of factorization theorem is approved for compact and weakly compact operators between Banach lattices through reflexive Banach lattices. |
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| Keywords: | lattices factorization weakly compact operators compact operators Banach lattices |
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