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Strong-principal Bimodules of Jacobson Radical of CSL Algebras
作者单位:Department of Mathematics,Hubei Institute for Mationalities,Enshi,Hubei 445000
摘    要:Strong-principalBimodulesofJacobsonRadical ofCSLAlgebrasZhuJun(朱军)(DepartmentofMathematics,HubeiInstituteforMationalities,Ens...


Strong-principal Bimodules of Jacobson Radical of CSL Algebras
Zhu Jun. Strong-principal Bimodules of Jacobson Radical of CSL Algebras[J]. Northeastern Mathematical Journal, 1994, 0(3)
Authors:Zhu Jun
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.
Keywords:CSL Algebral Jacobson Radical  Bimodulel Seperating End-point CSL  Rank One Operator  Representing Basis
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