Several Properties of p-w-hyponormal Operators

Chinese Quarterly Journal of Mathematics ›› 2008, Vol. 23 ›› Issue (2): 195-201.

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)

Abstract

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

CLC Number:

O177.1

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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Several Properties of p-w-hyponormal Operators

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