J4 ›› 2012, Vol. 47 ›› Issue (4): 28-32.

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TIAN Jun-hong1, WANG Gai-ling2, CAO Xiao-hong2   

  1. 1.School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001,  Gansu, China;
    2. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China
  • Received:2011-12-13 Online:2012-04-20 Published:2012-06-28

Abstract:

 (ω′)性质是Weyl定理的变形。本文利用单值延拓性质研究了Hilbert空间上有界线性算子T及其T的演算有(ω′)性质的充要条件, 然后利用所得的结论研究了控制类算子有(ω′)性质的充要条件。

Key words: 单值延拓性质;(ω′)性质; Hilbert空间

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