Linear preservers for matrix inequalities and partial orderings

Authors
Guterman, A
Citation
A. Guterman, Linear preservers for matrix inequalities and partial orderings, LIN ALG APP, 331(1-3), 2001, pp. 75-87
Citations number
27
Categorie Soggetti
Mathematics
Journal title
LINEAR ALGEBRA AND ITS APPLICATIONS
ISSN journal
00243795 → ACNP
Volume
331
Issue
1-3
Year of publication
2001
Pages
75 - 87
Database
ISI
SICI code
0024-3795(20010701)331:1-3<75:LPFMIA>2.0.ZU;2-Q
Abstract
We characterize the linear preservers of minus partial order on matrix alge bras. The developed approach allows us to classify linear transformations t hat live fixed several matrix relations arising as extremal cases in some c lassical matrix inequalities, including rank-additivity relation and relate d properties. Applications to the determinant preservers are considered. (C ) 2001 Elsevier Science Inc. All rights reserved.