| Log-ψω亚正规算子(英文) |
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| 引用本文： | 王斌,张敏.Log-ψω亚正规算子(英文)[J].东北数学,2008,24(4). |
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| 作者姓名： | 王斌 张敏 |
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| 作者单位： | Department of Mathematics and Physics;Chengde Petroleum College;Chende;067000;Institute of Mathematics;Jilin University;Changchun;130012; |
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| 基金项目： | The NSF(10371049)of China; the SHFDPHE(20050183002)of China. |
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| 摘 要： | Let T be an operator on a separable Hilbert space H and T=U|T|bethe polaf decomposition.T is said to be log-ω-hyponormal if log|T|≥log|T|≥log|(T)*|In this paper we prove that the point spectrum of T is equal to its joint point spectrum if T is log-ω-hyponormal.We also prove that a log-ω-hyponormal operator is normaloid,i.e.,r(T)=‖T‖.Finally,we obtain Putnam's theorem for log-ω-hyponormal Operators.
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| 关 键 词： | log-ω-hyponormal |
Log-ω-hyponormal Operators |
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| WANG Bin.Log-ω-hyponormal Operators[J].Northeastern Mathematical Journal,2008,24(4). |
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| Authors: | WANG Bin |
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| Institution: | [1]Department of Mathematics and Physics, Chengde Petroleum College, Chende, 067000 [2]Institute of Mathematics, Jilin University, Changchun, 130012 |
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| Abstract: | |
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| Keywords: | spectrum normaloid nontrivial invariant subspace |
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