Minus partial order and linear preservers |
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| Authors: | M Burgos AC Márquez-García A Morales-Campoy |
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| Institution: | 1. Departamento de Matemáticas, Universidad de Cádiz, Cádiz, Spain.maria.burgos@uca.es;3. Departamento de álgebra y Análisis Matemático, Universidad de Almería, Almería, Spain. |
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| Abstract: | In this paper, we investigate the properties of minus partial order in unital rings. We generalize several results well known for matrices and bounded linear operators on Banach spaces. We also study linear maps preserving the minus partial order in unital semisimple Banach algebras with essential socle. |
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| Keywords: | minus order linear preserver Banach algebra C*-algebra generalized inverse Jordan homomorphism |
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