On Linear Maps Preserving g-Majorization from <inline-formula> <graphic file="1029-242X-2010-254819-i1.gif"/></inline-formula> to <inline-formula> <graphic file="1029-242X-2010-254819-i2.gif"/></inline-formula>

On Linear Maps Preserving g-Majorization from <inline-formula> <graphic file="1029-242X-2010-254819-i1.gif"/></inline-formula> to <inline-formula> <graphic file="1029-242X-2010-254819-i2.gif"/></inline-formula>

<p/> <p>Let <inline-formula> <graphic file="1029-242X-2010-254819-i3.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-254819-i4.gif"/></inline-formula> be the usual spaces of <it>n</it>-dimensio...

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Main Authors: Armandnejad Ali, Heydari Hossein
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/254819
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spelling doaj-9fdceb16b63248ca83ca152a62b4cc482020-11-24T21:44:57ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101254819On Linear Maps Preserving g-Majorization from <inline-formula> <graphic file="1029-242X-2010-254819-i1.gif"/></inline-formula> to <inline-formula> <graphic file="1029-242X-2010-254819-i2.gif"/></inline-formula>Armandnejad AliHeydari Hossein<p/> <p>Let <inline-formula> <graphic file="1029-242X-2010-254819-i3.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-254819-i4.gif"/></inline-formula> be the usual spaces of <it>n</it>-dimensional column and <it>m</it>-dimensional row vectors on <inline-formula> <graphic file="1029-242X-2010-254819-i5.gif"/></inline-formula>, respectively, where <inline-formula> <graphic file="1029-242X-2010-254819-i6.gif"/></inline-formula> is the field of real or complex numbers. In this paper, the relations gs-majorization, lgw-majorization, and rgw-majorization are considered on <inline-formula> <graphic file="1029-242X-2010-254819-i7.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-254819-i8.gif"/></inline-formula>. Then linear maps <inline-formula> <graphic file="1029-242X-2010-254819-i9.gif"/></inline-formula> preserving lgw-majorization or gs-majorization and linear maps <inline-formula> <graphic file="1029-242X-2010-254819-i10.gif"/></inline-formula>, preserving rgw-majorization are characterized.</p>http://www.journalofinequalitiesandapplications.com/content/2010/254819
collection DOAJ
language English
format Article
sources DOAJ
author Armandnejad Ali
Heydari Hossein
spellingShingle Armandnejad Ali
Heydari Hossein
On Linear Maps Preserving g-Majorization from <inline-formula> <graphic file="1029-242X-2010-254819-i1.gif"/></inline-formula> to <inline-formula> <graphic file="1029-242X-2010-254819-i2.gif"/></inline-formula>
Journal of Inequalities and Applications
author_facet Armandnejad Ali
Heydari Hossein
author_sort Armandnejad Ali
title On Linear Maps Preserving g-Majorization from <inline-formula> <graphic file="1029-242X-2010-254819-i1.gif"/></inline-formula> to <inline-formula> <graphic file="1029-242X-2010-254819-i2.gif"/></inline-formula>
title_short On Linear Maps Preserving g-Majorization from <inline-formula> <graphic file="1029-242X-2010-254819-i1.gif"/></inline-formula> to <inline-formula> <graphic file="1029-242X-2010-254819-i2.gif"/></inline-formula>
title_full On Linear Maps Preserving g-Majorization from <inline-formula> <graphic file="1029-242X-2010-254819-i1.gif"/></inline-formula> to <inline-formula> <graphic file="1029-242X-2010-254819-i2.gif"/></inline-formula>
title_fullStr On Linear Maps Preserving g-Majorization from <inline-formula> <graphic file="1029-242X-2010-254819-i1.gif"/></inline-formula> to <inline-formula> <graphic file="1029-242X-2010-254819-i2.gif"/></inline-formula>
title_full_unstemmed On Linear Maps Preserving g-Majorization from <inline-formula> <graphic file="1029-242X-2010-254819-i1.gif"/></inline-formula> to <inline-formula> <graphic file="1029-242X-2010-254819-i2.gif"/></inline-formula>
title_sort on linear maps preserving g-majorization from <inline-formula> <graphic file="1029-242x-2010-254819-i1.gif"/></inline-formula> to <inline-formula> <graphic file="1029-242x-2010-254819-i2.gif"/></inline-formula>
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description <p/> <p>Let <inline-formula> <graphic file="1029-242X-2010-254819-i3.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-254819-i4.gif"/></inline-formula> be the usual spaces of <it>n</it>-dimensional column and <it>m</it>-dimensional row vectors on <inline-formula> <graphic file="1029-242X-2010-254819-i5.gif"/></inline-formula>, respectively, where <inline-formula> <graphic file="1029-242X-2010-254819-i6.gif"/></inline-formula> is the field of real or complex numbers. In this paper, the relations gs-majorization, lgw-majorization, and rgw-majorization are considered on <inline-formula> <graphic file="1029-242X-2010-254819-i7.gif"/></inline-formula> and <inline-formula> <graphic file="1029-242X-2010-254819-i8.gif"/></inline-formula>. Then linear maps <inline-formula> <graphic file="1029-242X-2010-254819-i9.gif"/></inline-formula> preserving lgw-majorization or gs-majorization and linear maps <inline-formula> <graphic file="1029-242X-2010-254819-i10.gif"/></inline-formula>, preserving rgw-majorization are characterized.</p>
url http://www.journalofinequalitiesandapplications.com/content/2010/254819
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AT heydarihossein onlinearmapspreservinggmajorizationfrominlineformulagraphicfile1029242x2010254819i1gifinlineformulatoinlineformulagraphicfile1029242x2010254819i2gifinlineformula
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