On mappings preserving the sharp and star orders


Autoria(s): Burgos, M.; Márquez-García, A. C.; Patrício, Pedro
Data(s)

2015

Resumo

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.

The first author is partially supported by the Spanish Ministry of Science and Innovation, D.G.I. project no. MTM2011-23843, and Junta de Andaluc´ıa grant FQM375. The second author is also supported by a Plan Propio de Investigaci´on grant from University of Almer´ıa, and Junta de Andaluc´ıa grant FQM 3737. The third author is partially supported by FEDER Funds through “Programa Operacional Factores de Competitividade – COMPETE” and by Portuguese Funds through FCT - “Funda¸c˜ao para a Ciˆencia e a Tecnologia”, within the project PEst-OE/MAT/UI0013/2014.

Identificador

0024-3795

http://hdl.handle.net/1822/39176

10.1016/j.laa.2015.05.003

Idioma(s)

eng

Publicador

Elsevier

Relação

Fundação para a Ciência e Tecnologia (FCT)

Spanish Ministry of Science and Innovation

Junta de Andalucia grant

Plan Propio de Investigacion grant from University of Almeria

info:eu-repo/grantAgreement/FCT/5876/135888/PT

http://www.sciencedirect.com/science/article/pii/S002437951500292X

Direitos

info:eu-repo/semantics/openAccess

Palavras-Chave #Sharp order #Star order #Orthogonality #Zero product #Linear preserver #Banach algebra
Tipo

info:eu-repo/semantics/article