期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

MAXIMAL NILPOTENT IDEALS AND ISOMORPHISMS OF LARGE SUBALGEBRAS OF NEST ALGEBRAS 被引量：2

MAXIMAL NILPOTENT IDEALS AND ISOMORPHISMS OF LARGE SUBALGEBRAS OF NEST ALGEBRAS
下载PDF
导出
摘要 Let N be a nest of projections on a Hilbert space H and T(N) be the corresponding nest algebra. Let A be a large subalgebra of T(N). It is proved that any maximal n-nilpotent ideal of A is in the form of A∩R F,where F is a finite subnest of N and R F is the Jacobson radical of T(F).Using this result can prove that two large subalgebras are isomorphic if and only if the corresponding nests are similar. Let N be a nest of projections on a Hilbert space H and T(N) be the corresponding nest algebra. Let A be a large subalgebra of T(N). It is proved that any maximal n-nilpotent ideal of A is in the form of A∩R F,where F is a finite subnest of N and R F is the Jacobson radical of T(F).Using this result can prove that two large subalgebras are isomorphic if and only if the corresponding nests are similar.
作者 Lu FangyanDept. of Math., Suzhou Univ., Suzhou 215006, China.
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2003年第3期276-282,共7页 高校应用数学学报（英文版）（B辑）
关键词 nest algebras large subalgebras maximal n-nilpotent ideals similarity nest algebras, large subalgebras, maximal n-nilpotent ideals, similarity
分类号 O177.39 [理学—基础数学]
  • 相关文献

参考文献10

  • 1Davidson, K. R., Nest Algebras, Pitman Research Notesin Mathematics Series 191, Longman Scientific and Technical,Burnt Mill Harlow,Essex,UK, 1988.
  • 2Erdos,J. A. ,Operators of finite rank in nest algebras,J. London Math. Soc., 1968,43:391-397.
  • 3Erdos ,J. A. ,Power ,S. C. ,Weakly closed ideals of nest algebras ,J. Operator Theory, 1982,7 : 19-351.
  • 4Hopenswasser,A. ,Completely isometric maps and triangular operatvr algebras,Proc. London Math.Soc. ,1975,25(3) .96-114.
  • 5Larson,D. R. ,Nest algebras and similaring transforms,Ann, of Math. ,1985,121:409-427.
  • 6Lu Fangyan,Lu Shijie,Finite rank operators in some ideals of nest algebras,Acta Math. Sinica, 1998,41:113-118.
  • 7Orr,J. L. ,Triangular algebras and ideals of nest algebras,Bull. Amer. Math. Soc. (N. S. ), 1990,23 : 461-467.
  • 8Orr,J. L. ,The maximal ideals of a nest algebra ,J. Funct. Anal. , 1994,124 :119-134.
  • 9Ringrose,J. R. ,On some algebras of operators,Proc. London Math. Soc. , 1965,15(3):61-83.
  • 10Ringrose,J. R. , On some algebras of operators Ⅱ,Proc. London Math. Soc. , 1966, 16:385-402.

引证文献2

二级引证文献1

Applied Mathematics(A Journal of Chinese Universities)
2003年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部