Maps completely preserving the quadratic operators

2020/12/04 by Hosseinzadeh, Roja
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2012.02528

Abstract

Let A and B be standard operator algebras on Banach spaces X and Y, respectively. In this paper, we show that every bijection completely preserving quadratic operators from A onto B is either an isomorphism or (in the complex case) a conjugate isomorphism.

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