On mappings preserving the sharp and star orders

The present paper is devoted to the study of linear maps preserving certain relations, such as the sharp partial order and the star partial order in semisimple Banach algebras and C⁎-algebras.

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Bibliographic Details
Published inLinear algebra and its applications Vol. 483; pp. 268 - 292
Main Authors Burgos, M., Márquez-García, A.C., Patrício, P.
Format Journal Article
LanguageEnglish
Published Elsevier Inc 15.10.2015
Subjects
Banach algebra
Linear preserver
Orthogonality
Sharp order
Star order
Zero product
secondary
Banach algebra
Zero product
Linear preserver
Star order
Orthogonality
Sharp order
primary
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Summary:The present paper is devoted to the study of linear maps preserving certain relations, such as the sharp partial order and the star partial order in semisimple Banach algebras and C⁎-algebras.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2015.05.003