Minus partial order and linear preservers

Minus partial order and linear preservers

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 so...

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Veröffentlicht in:arXiv.org 2015-07
Hauptverfasser: Burgos, Maria, Márquez-García, Antonio Carlos, Morales-Campoy, Antonio
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Linear operators
Mathematical analysis
Matrices (mathematics)
Rings (mathematics)
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Zusammenfassung: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.
ISSN:2331-8422