p-w-亚正规算子的一些性质

数学季刊 ›› 2008, Vol. 23 ›› Issue (2): 195-201.

p-w-亚正规算子的一些性质

Department of Mathematics,Henan Normal University

收稿日期:2005-09-15 出版日期:2008-06-30 发布日期:2023-09-28
作者简介: LI Hai-ying(1978-), female, native of Nanyang, Henan, a lecturer of Henan Normal University, Ph.D., engages in functional analysis and its applications.
基金资助:
Supported by Natural Science and Education Foundation of Henan Province(2007110016)

Several Properties of p-w-hyponormal Operators

Department of Mathematics,Henan Normal University

Received:2005-09-15 Online:2008-06-30 Published:2023-09-28
About author: LI Hai-ying(1978-), female, native of Nanyang, Henan, a lecturer of Henan Normal University, Ph.D., engages in functional analysis and its applications.
Supported by:
Supported by Natural Science and Education Foundation of Henan Province(2007110016)

摘要/Abstract

摘要： 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.

关键词:

Aluthge transformation, Bishop’s property(β), quasi-similar, w-hyponormal

operators, p-w-hyponormal operators

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.

Key words:

Aluthge transformation, Bishop’s property(β), quasi-similar, w-hyponormal

operators, p-w-hyponormal operators

中图分类号:

O177.1

李海英, 杨长森 . p-w-亚正规算子的一些性质[J]. 数学季刊, 2008, 23(2): 195-201.

LI Hai-ying , YANG Chang-sen. Several Properties of p-w-hyponormal Operators [J]. Chinese Quarterly Journal of Mathematics, 2008, 23(2): 195-201.

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