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关于算子闭值域的两个定理 被引量:2

On the Two Theorems of Closed Operator Range
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摘要 给出两个改进的算子闭值域定理,并对相关算子值域问题进行探讨. Two improved theorems of closed operator range are given, and the issues related to operator range are discussed.
作者 陈剑岚
出处 《福建师范大学学报(自然科学版)》 CAS CSCD 北大核心 2010年第2期16-19,共4页 Journal of Fujian Normal University:Natural Science Edition
基金 国家自然科学基金资助项目(10771034)
关键词 巴拿赫空间 闭值域 算子值域 Banach space closed range operator range
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参考文献8

  • 1王小荣,张云南.关于算子值域闭性的注记[J].福建师范大学学报(自然科学版),2007,23(5):15-18. 被引量:2
  • 2Aiena P. Fredholm and local spectral theory with applications to multipliere [M]. New York: Kouwer Academic Publishers, 2004.
  • 3Cross R W. On the continuous linear image of a Banach space [J]. Austral M S, 1980 (29): 219-234.
  • 4Fillmore P A, Williams J P. On operator ranges [J]. Advances in Mathematics, 1971, 7: 254-281.
  • 5Fonf V P. Shevchilk V V. On deompositions of Banach spaces into a sum of operator ranges [J]. Studia Math, 1999, 132 (1): 91-100.
  • 6陈剑岚 钟怀杰.关于算子值域.福建师范大学学报:自然科学版,1999,15:5-7.
  • 7Laursen K B. An introduction to local spectral theory [M], Landon: Clarendor Press. Oxford, 2000.
  • 8吴祝宁.关于两个闭子空间和的闭性[J].福建师范大学学报(自然科学版),1998,14(3):18-21. 被引量:3

二级参考文献4

  • 1Fillmore P A,Williams J P.On operator ranges[J].Advances in Mathematics,1971,7:254-281.
  • 2Fonf V P,Shevchik V V.On decompositions of Banach spaces into a sum of operator ranges[J].Studia Math,1999,132(1):91-100.
  • 3Caradus S R.Calkin algebras and algebras of operatos on Banach spaces[M].New York:Marcel Dekker,1974.
  • 4Kato T.Perturbation theory for nullity deficienc and other quantities of linear operators[J].J Anal Math,1958,6:273-322.

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