A note on the column-row property
Abstract
In this article, we study the following question asked by Michael Hartz in a recent paper Hartz: which operator spaces satisfy the column-row property? We provide a complete classification of the column-row property for non-commutative Lp-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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