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arXiv · 2210.07223

A note on the column-row property

Samya Kumar Ray·Srijan Sarkar
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Abstract

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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Samya Kumar Ray, Srijan Sarkar. 2022-10-13. A note on the column-row property. https://arxiv.org/abs/2210.07223

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