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p-ω-亚正规算子的一些性质
引用本文:李海英,杨长森.p-ω-亚正规算子的一些性质[J].数学季刊,2008,23(2).
作者姓名:李海英  杨长森
作者单位:李海英,LI Hai-ying(Department of Mathematics,Henan Normal University,Xinxiang 453007,China;School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China);杨长森,YANG Chang-sen(School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China) 
基金项目:河南省教育厅自然科学基金 
摘    要:

关 键 词:p-w-亚正规算子  性质  解题方法  数学分析

Several Properties of p-w-hyponormal Operators
LI Hai-ying,YANG Chang-sen.Several Properties of p-w-hyponormal Operators[J].Chinese Quarterly Journal of Mathematics,2008,23(2).
Authors:LI Hai-ying  YANG Chang-sen
Institution:[1]Department of Mathematics, Henan Normal University, Xinxiang 453007, China [2]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
Abstract:In this paper,let T be a bounded linear operator on a complex Hilbert H.We give and prove that every p-w-hyponormal operator has Bishop's property(β)and spectral properties;Quasi-similar p-w-hyponormal operators have equal spectra and equal essential spectra.Finally,for p-w-hyponormal operators,we give a kind of proof of its normality by use of properties of partial isometry.
Keywords:Aluthge transformation  quasi-similar  w-hyponormal operators  p-w-hyponormal operators
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