| 关于非平凡的黎斯算子 |
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| 引用本文： | 钟怀杰.关于非平凡的黎斯算子[J].福建师范大学学报(自然科学版),1993,9(3):10-14. |
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| 作者姓名： | 钟怀杰 |
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| 作者单位： | 福建师范大学数学系 |
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| 摘 要： | 讨论一般巴拿赫空间上非紧的黎斯算子存在问题,说明各经典巴拿赫空间上确有这种非平凡的黎斯算子,给出一类空间,其上的根算子理想与严格奇异算子理想是不重合的。
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| 关 键 词： | 紧算子 黎斯算子 巴拿赫空间 |
The Problem of Existence of Nontrivial Riesz Operators |
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| Zhong Huaijie.The Problem of Existence of Nontrivial Riesz Operators[J].Journal of Fujian Teachers University(Natural Science),1993,9(3):10-14. |
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| Authors: | Zhong Huaijie |
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| Institution: | Department of Mathematics |
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| Abstract: | In this article the problem of existence of noncompact Riesz operators on Banach spaces is discussed. It is proved that existence of nontrivial Riesz operators on general classical Banach spaces, the class of redical operators are large than S(X) , the class of strictly singular operators on some Banach spaces. |
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| Keywords: | compact operator Riesz operator radical operator strictly singular operator |
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