| 关于Hilbert-Schmidt理想模的Putnam-Fuglede定理的几个注记 |
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| 引用本文： | 李绍宽.关于Hilbert-Schmidt理想模的Putnam-Fuglede定理的几个注记[J].东华大学学报(自然科学版),1985(3). |
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| 作者姓名： | 李绍宽 |
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| 作者单位： | 华东纺织工学院数学教研室 |
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| 摘 要： | 本文主要讨论关于Hilbert-Schmidt理想模的Putnam-Fuglede定理的逆问题,证明了若A,B满足:对一切X成立时,A,B必为亚正常算子。本文还包括其它一些结果。
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| 关 键 词： | 希尔伯特-施密特理想 Putnam-Fuglede定理 亚正常算子 |
SOME NETES ON THE PUTNAM-FUGLEDE THEOREM MODULO THE HILBERT-SCHMIDT IDEAL |
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| Li Shaokuan.SOME NETES ON THE PUTNAM-FUGLEDE THEOREM MODULO THE HILBERT-SCHMIDT IDEAL[J].Journal of Donghua University,1985(3). |
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| Authors: | Li Shaokuan |
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| Institution: | Li Shaokuan |
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| Abstract: | In this paper we discuss the inverse problem of the Putnam-Fuglede Theorem Modulo the Hilbert-Schmidt ideal and proved that if A and B satisfy that for every X, it holds that or then A and B~* are hyponormal operators. Some other results contained, too. |
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| Keywords: | Hilbert-Schmidt Ideal Putnam-Fuglede Theorem hyponormal operators |
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