English

Maps preserving ascent/descent of triple Jordan product

Functional Analysis 2024-03-01 v1 Operator Algebras

Abstract

Let X\mathcal{X} be a real or complex Banach space with dimX3 \dim \mathcal{X}\geq 3. We give a complete description of surjective mappings on B(X)\mathcal{B(X)} that preserve the ascent of Jordan triple product of operators or, preserve the descent of Jordan triple product of operators.

Keywords

Cite

@article{arxiv.2402.19130,
  title  = {Maps preserving ascent/descent of triple Jordan product},
  author = {Roja Hosseinzadeh and Tatjana Petek},
  journal= {arXiv preprint arXiv:2402.19130},
  year   = {2024}
}