p-ω-亚正规算子的一些性质
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.
作 者: 李海英 杨长森 LI Hai-ying YANG Chang-sen 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)
刊 名: 数学季刊(英文版) ISTIC PKU 英文刊名: CHINESE QUARTERLY JOURNAL OF MATHEMATICS 年,卷(期): 2008 23(2) 分类号: O177.1 关键词: Aluthge transformation Bishop'sproperty(β) quasi-similar w-hyponormal operators p-w-hyponormal operators