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Maps completely preserving the quadratic operators

Published 4 Dec 2020 in math.FA and math.OA | (2012.02528v1)

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

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Authors (1)

  1. Roja Hosseinzadeh 

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