Maria Burgos, Antonio Carlos Márquez-García, Antonio Morales-Campoy
Published 2015-07-29Version 1
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.
Preduals and complementation of spaces of bounded linear operators
When Nilpotence Implies Normality of Bounded Linear Operators
The $M$-ideal structure of some algebras of bounded linear operators
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