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Maps preserving ascent/descent of triple Jordan product

Published 29 Feb 2024 in math.FA and math.OA | (2402.19130v1)

Abstract: Let $\mathcal{X}$ be a real or complex Banach space with $ \dim \mathcal{X}\geq 3$. We give a complete description of surjective mappings on $\mathcal{B(X)}$ that preserve the ascent of Jordan triple product of operators or, preserve the descent of Jordan triple product of operators.

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