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  • 标题:A note on M-ideals in certain algebras of operators
  • 本地全文:下载
  • 作者:Chong-Man Cho ; Woo Suk Roh
  • 期刊名称:International Journal of Mathematics and Mathematical Sciences
  • 印刷版ISSN:0161-1712
  • 电子版ISSN:1687-0425
  • 出版年度:2000
  • 卷号:23
  • 期号:10
  • 页码:681-685
  • DOI:10.1155/S0161171200002246
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    Let 1$"> X = ( ∑ n = 1 ∞ ℓ 1 n ) p ,       p > 1 . In this paper, we investigate M -ideals which are also ideals in L ( X ) , the algebra of all bounded linear operators on X . We show that K ( X ) , the ideal of compact operators on X is the only proper closed ideal in L ( X ) which is both an ideal and an M -ideal in L ( X ) .

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