数学季刊 ›› 2005, Vol. 20 ›› Issue (1): 79-84.

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p-ω-亚正规算子

  

  1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453002, China
  • 收稿日期:2003-07-09 出版日期:2005-03-30 发布日期:2024-02-27
  • 作者简介:YANG Chang-sen(1965-),male,native of Xinxiang,Henan,a professor of Henan Normal University,Ph.D.,engages in in function analysis;LI Hai-ying(1978-),female,native of Nanyang,Henan,a lecturer of Henan Normal University,M.S.D.,engages in functional analysis.
  • 基金资助:
     Supported by the Education Foundation of Henan Province(2003110006);

On p-ω-hyponormal Operators

  1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453002, China
  • Received:2003-07-09 Online:2005-03-30 Published:2024-02-27
  • About author:YANG Chang-sen(1965-),male,native of Xinxiang,Henan,a professor of Henan Normal University,Ph.D.,engages in in function analysis;LI Hai-ying(1978-),female,native of Nanyang,Henan,a lecturer of Henan Normal University,M.S.D.,engages in functional analysis.
  • Supported by:
     Supported by the Education Foundation of Henan Province(2003110006);

摘要: In this paper, we show that if T is p-ω-hyponormal, the nonzero points of the approximate and joint approximate point spectrum of T are identical; Moreover, we obtain a pair of inequalities similar to p-ω-hyponormal operators.

关键词: Furuta inequality, L?wner-Heinz inequality, approximate point spectrum, p- w-hyponormal operators

Abstract: In this paper, we show that if T is p-ω-hyponormal, the nonzero points of the approximate and joint approximate point spectrum of T are identical; Moreover, we obtain a pair of inequalities similar to p-ω-hyponormal operators.

Key words: Furuta inequality, L?wner-Heinz inequality, approximate point spectrum, p- w-hyponormal operators

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