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arXiv · 2402.19130

Maps preserving ascent/descent of triple Jordan product

Roja Hosseinzadeh·Tatjana Petek
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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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Roja Hosseinzadeh, Tatjana Petek. 2024-02-29. Maps preserving ascent/descent of triple Jordan product. https://arxiv.org/abs/2402.19130

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