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arXiv · 2012.02528

Maps completely preserving the quadratic operators

Roja Hosseinzadeh
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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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Roja Hosseinzadeh. 2020-12-04. Maps completely preserving the quadratic operators. https://arxiv.org/abs/2012.02528

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