| Strong-principal Bimodules of Jacobson Radical of CSL Algebras |
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| 作者单位： | Department of Mathematics，Hubei Institute for Mationalities，Enshi，Hubei 445000 |
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| 摘 要： | Ｓｔｒｏｎｇ－ｐｒｉｎｃｉｐａｌＢｉｍｏｄｕｌｅｓｏｆＪａｃｏｂｓｏｎＲａｄｉｃａｌ ｏｆＣＳＬＡｌｇｅｂｒａｓＺｈｕＪｕｎ（朱军）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨｕｂｅｉＩｎｓｔｉｔｕｔｅｆｏｒＭａｔｉｏｎａｌｉｔｉｅｓ，Ｅｎｓ...
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Strong-principal Bimodules of Jacobson Radical of CSL Algebras |
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| Authors: | Zhu Jun |
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| Abstract: | We obtain necessary and sufficient conditions for B(H) to be represented by the SOT closure of the linear span of compounds of a fixed operator in B(H) and the rank one operators, composed only by the vectors of a certain orthonormal hots of H, in the radical of a separating end-point CSL algebra. ms result implies the main theorems 2. 4 and 2. 5 in Proc. Amer. Math. Soc, 115 (1992). 435-440. |
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| Keywords: | CSL Algebral Jacobson Radical Bimodulel Seperating End-point CSL Rank One Operator Representing Basis |
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