Geodesic
A note on the column–row property
Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1244-1254

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DOI

In this article, we study the following question asked by Michael Hartz in a recent paper (Every complete Pick space satisfies the column-row property, to appear in Acta Mathematica): which operator spaces satisfy the column–row property? We provide a complete classification of the column–row property (CRP) for noncommutative $L_{p}$-spaces over semifinite von Neumann algebras. We study other relevant properties of operator spaces that are related to the CRP and discuss their existence and nonexistence for various natural examples of operator spaces.
DOI : 10.4153/S0008439523000322
Mots-clés : Column–row property, operator spaces, non-commutative Lp-spaces 
Ray, Samya Kumar; Sarkar, Srijan. A note on the column–row property. Canadian mathematical bulletin, Tome 66 (2023) no. 4, pp. 1244-1254. doi: 10.4153/S0008439523000322
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