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Perturbations of the radical of nest algebras

Perturbations of the radical of nest algebras

作     者:LU Fangyan 1 and LU Shijie 2 1. Department of Mathematics, Suzhou University, Suzhou 215006, China 2. Department of Mathematics, Zhejiang University, Hangzhou 310027, China 

作者机构:Department of Mathematics Suzhou University Suzhou China Department of Mathematics Zhejiang University Hangzhou China 

出 版 物:《Chinese Science Bulletin》 (Chin. Sci. Bull.)

年 卷 期:1998年第43卷第7期

页      面:556-560页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:theNationalNaturalScienceFoundationofChinaandtheNaturalScienceFoundationofZhejiangProvince 

主  题:nest algebras radical perturbation. 

摘      要:Let R N and K-N be the radical ideal and the compact operator ideal of nest algebra T(N) respectively. It is proved thatR-N+K-N=span{T∈T(N)∶TT(N)NCT}=span{T∈T(N): #σ′(ST)≤1, S∈T(N)}.

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