A note on the column-row property

Article Type

Research Article

Publication Title

Canadian Mathematical Bulletin

Abstract

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 -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.

First Page

1244

Last Page

1254

DOI

https://10.4153/S0008439523000322

Publication Date

12-24-2023

Comments

Open Access, Hybrid Gold

This document is currently not available here.

Share

COinS