A note on <inline-formula><graphic file="1029-242X-2002-268130-i1.gif"/></inline-formula>-hyponormal operators

A note on <inline-formula><graphic file="1029-242X-2002-268130-i1.gif"/></inline-formula>-hyponormal operators

<p/> <p>Let <inline-formula><graphic file="1029-242X-2002-268130-i2.gif"/></inline-formula> be a <inline-formula><graphic file="1029-242X-2002-268130-i3.gif"/></inline-formula>-hyponormal operator with the polar decomposition <in...

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Main Authors: Huruya Tadasi, Kim Young Ok, Ch&#333; Muneo
Format: Article
Language:English
Published: SpringerOpen 2002-01-01
Series:Journal of Inequalities and Applications
Subjects:
<it>w</it>-hyponormal operator
<it>p</it>-hyponormal operator
Furuta inequality
Online Access:http://www.journalofinequalitiesandapplications.com/content/7/268130
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spelling doaj-cda1f2187de24333a24446c4af2a6fb22020-11-24T22:08:39ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2002-01-0120021268130A note on <inline-formula><graphic file="1029-242X-2002-268130-i1.gif"/></inline-formula>-hyponormal operatorsHuruya TadasiKim Young OkCh&#333; Muneo<p/> <p>Let <inline-formula><graphic file="1029-242X-2002-268130-i2.gif"/></inline-formula> be a <inline-formula><graphic file="1029-242X-2002-268130-i3.gif"/></inline-formula>-hyponormal operator with the polar decomposition <inline-formula><graphic file="1029-242X-2002-268130-i4.gif"/></inline-formula>. In this paper, we show the following: (1) If <inline-formula><graphic file="1029-242X-2002-268130-i5.gif"/></inline-formula> is normal, then <inline-formula><graphic file="1029-242X-2002-268130-i6.gif"/></inline-formula> is normal. (2) If <inline-formula><graphic file="1029-242X-2002-268130-i7.gif"/></inline-formula>, then <inline-formula><graphic file="1029-242X-2002-268130-i8.gif"/></inline-formula> is also <inline-formula><graphic file="1029-242X-2002-268130-i9.gif"/></inline-formula>-hyponormal. (3) There exists a <inline-formula><graphic file="1029-242X-2002-268130-i10.gif"/></inline-formula>-hyponormal operator <inline-formula><graphic file="1029-242X-2002-268130-i11.gif"/></inline-formula> such that <inline-formula><graphic file="1029-242X-2002-268130-i12.gif"/></inline-formula> and <inline-formula><graphic file="1029-242X-2002-268130-i13.gif"/></inline-formula>.</p>http://www.journalofinequalitiesandapplications.com/content/7/268130<it>w</it>-hyponormal operator<it>p</it>-hyponormal operatorFuruta inequality
collection DOAJ
language English
format Article
sources DOAJ
author Huruya Tadasi
Kim Young Ok
Ch&#333; Muneo
spellingShingle Huruya Tadasi
Kim Young Ok
Ch&#333; Muneo
A note on <inline-formula><graphic file="1029-242X-2002-268130-i1.gif"/></inline-formula>-hyponormal operators
Journal of Inequalities and Applications
<it>w</it>-hyponormal operator
<it>p</it>-hyponormal operator
Furuta inequality
author_facet Huruya Tadasi
Kim Young Ok
Ch&#333; Muneo
author_sort Huruya Tadasi
title A note on <inline-formula><graphic file="1029-242X-2002-268130-i1.gif"/></inline-formula>-hyponormal operators
title_short A note on <inline-formula><graphic file="1029-242X-2002-268130-i1.gif"/></inline-formula>-hyponormal operators
title_full A note on <inline-formula><graphic file="1029-242X-2002-268130-i1.gif"/></inline-formula>-hyponormal operators
title_fullStr A note on <inline-formula><graphic file="1029-242X-2002-268130-i1.gif"/></inline-formula>-hyponormal operators
title_full_unstemmed A note on <inline-formula><graphic file="1029-242X-2002-268130-i1.gif"/></inline-formula>-hyponormal operators
title_sort note on <inline-formula><graphic file="1029-242x-2002-268130-i1.gif"/></inline-formula>-hyponormal operators
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2002-01-01
description <p/> <p>Let <inline-formula><graphic file="1029-242X-2002-268130-i2.gif"/></inline-formula> be a <inline-formula><graphic file="1029-242X-2002-268130-i3.gif"/></inline-formula>-hyponormal operator with the polar decomposition <inline-formula><graphic file="1029-242X-2002-268130-i4.gif"/></inline-formula>. In this paper, we show the following: (1) If <inline-formula><graphic file="1029-242X-2002-268130-i5.gif"/></inline-formula> is normal, then <inline-formula><graphic file="1029-242X-2002-268130-i6.gif"/></inline-formula> is normal. (2) If <inline-formula><graphic file="1029-242X-2002-268130-i7.gif"/></inline-formula>, then <inline-formula><graphic file="1029-242X-2002-268130-i8.gif"/></inline-formula> is also <inline-formula><graphic file="1029-242X-2002-268130-i9.gif"/></inline-formula>-hyponormal. (3) There exists a <inline-formula><graphic file="1029-242X-2002-268130-i10.gif"/></inline-formula>-hyponormal operator <inline-formula><graphic file="1029-242X-2002-268130-i11.gif"/></inline-formula> such that <inline-formula><graphic file="1029-242X-2002-268130-i12.gif"/></inline-formula> and <inline-formula><graphic file="1029-242X-2002-268130-i13.gif"/></inline-formula>.</p>
topic <it>w</it>-hyponormal operator
<it>p</it>-hyponormal operator
Furuta inequality
url http://www.journalofinequalitiesandapplications.com/content/7/268130
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AT kimyoungok noteoninlineformulagraphicfile1029242x2002268130i1gifinlineformulahyponormaloperators
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