Perturbations of the radical of nest algebras

Perturbations of the radical of nest algebras

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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)}. Let RN and KN be the radical ideal and the compact operator ideal of nest algebra ?(N) respectively. It is proved that

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

出处《Chinese Science Bulletin》 SCIE EI CAS 1998年第7期556-560,共5页

基金 theNationalNaturalScienceFoundationofChinaandtheNaturalScienceFoundationofZhejiangProvince

关键词 NEST ALGEBRAS RADICAL perturbation. nest algebras radical perturbation

分类号 O177 [理学—数学]

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1Hou Chengjun,Han Deguang Department of Mathematics, Qufu Normal University, Qufu 273165, China Institute of Mathematics, Fudan University, Shanghai 200433, China Department of Mathematics, Qufu Normal University, Qufu 273165, China.Derivations and Isomorphisms of Certain Reflexive Operator Algebras[J].Acta Mathematica Sinica,English Series,1998,14(1):105-112. 被引量：3
2Xiaofei QI.Additive Biderivations and Centralizing Maps on Nest Algebras[J].Journal of Mathematical Research with Applications,2013,33(2):246-252.
3Jaiok ROH,Yong-Soo JUNG,Ick-Soon CHANG.A Note on the Stability of Jordan Triple Higher Ring Derivations[J].Acta Mathematica Sinica,English Series,2009,25(12):1975-1986.
4YANG Miao-xia,ZHANG Jian-hua.A Local Characterization of Lie Homomorphisms of Nest Algebras[J].Chinese Quarterly Journal of Mathematics,2014,29(1):125-128.
5Lu FangyanDept. of Math., Suzhou Univ., Suzhou 215006, China..MAXIMAL NILPOTENT IDEALS AND ISOMORPHISMS OF LARGE SUBALGEBRAS OF NEST ALGEBRAS[J].Applied Mathematics(A Journal of Chinese Universities),2003,18(3):276-282. 被引量：2
6SUN Wei.Weak convergence of Dirichlet processes[J].Science China Mathematics,1998,41(1):8-21.
7QI XIAO-FEIi,Hou JIN-CHUAN.Lie Higher Derivations on Nest Algebras[J].Communications in Mathematical Research,2010,26(2):131-143. 被引量：1
8荆武.nest代数上的保秩线性映射[J].烟台师范学院学报（自然科学版）,1996,12(3):161-166. 被引量：2
9QI XiaoFei,HOU JinChuan.Characterization of Lie multiplicative isomorphisms between nest algebras[J].Science China Mathematics,2011,54(11):2453-2462. 被引量：2
10董浙,鲁世杰.EXTREME POINTS IN DIAGONAL-DISJOINT IDEALS OF NEST ALGEBRAS[J].Acta Mathematica Scientia,2002,22(2):222-226.

Chinese Science Bulletin

1998年第7期

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Perturbations of the radical of nest algebras

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