列-行属性的注释

Pub Date : 2022-10-13 DOI:10.4153/s0008439523000322

Samya Kumar Ray, S. Sarkar

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引用次数: 0

摘要

在这篇文章中，我们研究了Michael Hartz在最近的一篇论文中提出的以下问题：textit｛哪些算子空间满足列-行性质？｝我们提供了半群von Neumann代数上非交换$L_｛p｝$空间的列-行性的完全分类。我们研究了与列-行性质相关的算子空间的其他相关性质，并对算子空间的各种自然例子讨论了它们的存在性和不存在性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A note on the column-row property

In this article, we study the following question asked by Michael Hartz in a recent paper \cite{Hartz}: \textit{which operator spaces satisfy the column-row property?} We provide a complete classification of the column-row property for non-commutative $L_{p}$-spaces over semifinite von Neumann algebras. We study other relevant properties of operator spaces that are related to the column-row property and discuss their existence and non-existence for various natural examples of operator spaces.

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