Perturbations of the radical of nest algebras
Perturbations of the radical of nest algebras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 thatR-N+K-N=span{T∈T(N)∶TT(N)NCT}=span{T∈T(N): #σ′(ST)≤1, S∈T(N)}.