半有限 von Neumann 代数上非交换（量子）Lorentz 空间中的等距映射
算子代数
2021-01-12 v2
摘要
在本文中，我们刻画了与半有限 von Neumann 代数相关的非交换（量子）Lorentz 空间的单位球的极值点。这使我们能够证明非交换 Lorentz 空间之间的满射等距映射保持投影不相交性和有限性，从而有助于刻画这些等距映射的结构。
引用
@article{arxiv.1907.07619,
title = {Isometries on non-commutative (quantum) Lorentz spaces associated with semi-finite von Neumann algebras},
author = {Pierre de Jager and Jurie Conradie},
journal= {arXiv preprint arXiv:1907.07619},
year = {2021}
}
备注
The paper entitled "Extreme point methods in the study of isometries on certain non-commutative spaces" (arXiv identifier: 2007.02324) is a significantly revised, updated and extended version of this article