论文标题
列属性属性的注释
A note on the column-row property
论文作者
论文摘要
在本文中,我们研究了迈克尔·哈茨(Michael Hartz)在最近的一篇论文中提出的以下问题\ cite {hartz}:\ textIt {哪个操作员空间满足列属性?}我们提供了非交流性$ l_ {p} $的列属性属性的完整分类。我们研究了与柱行属性相关的操作员空间的其他相关特性,并讨论了其存在和不存在操作员空间的自然示例。
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.