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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/254819 |
| Summary: | <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> |
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| ISSN: | 1025-5834 1029-242X |