| 本性不可比的Banach空间 |
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| 引用本文： | 陈东阳,钟怀杰. 本性不可比的Banach空间[J]. 应用泛函分析学报, 2001, 3(3): 261-266 |
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| 作者姓名： | 陈东阳 钟怀杰 |
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| 作者单位： | 福建师范大学数学系福建福州 350007 |
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| 基金项目： | 国家自然科学基金(19771017). |
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| 摘 要： | 通过引入本性严格奇异算子和投影严格奇异算子，讨论本性不可比的Banach空间，对M.Gonzalez提出的猜想作出部分的肯定回答，最后，利用空间的本性不可比构造了一类空间，其上的非本性算子类和严格余奇异算子类是不重合的。
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| 关 键 词： | 本性严格奇异算子 投影严格奇异算子 本性不可比空间 遗传不可分解空间 Banach空间 |
| 文章编号： | 1009-1327(2001)03-0261-06 |
| 修稿时间： | 2000-12-14 |
On Essentially Incomparable Banach Spaces |
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| CHEN Dong-yang,ZHONG Huai-jie. On Essentially Incomparable Banach Spaces[J]. Acta Analysis Functionalis Applicata, 2001, 3(3): 261-266 |
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| Authors: | CHEN Dong-yang ZHONG Huai-jie |
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| Affiliation: | CHEN Dong-yang,ZHONG Huai-jie Department of Mathematics,Fujian Teachers University,Fuzhou 350007,China |
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| Abstract: | In this paper, we introduce essentially strictly singular operators and projectionally strictly singular operators, discuss essentionally incomparable Banach spaces and give a partial answer to the conjecture of M.Gonzalez. Finally, we construct a class of Banach spaces on which the class of inessential operators does not coincide with the class of strictly cosingular operators by using essential incomparability of Banach spaces. |
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| Keywords: | essentially strictly singular operators projectionally strictly singular operators essentially incomparable Banach spaces |
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