A non-commutative version of Nikishin’s theorem

Let τ be a tracial normal state on a von Neumann algebra, L1(τ) be the space of integrable self-adjoint operators, and S be the space of self-adjoint measurable operators. We prove that every positive linear operator from an ordered Banach space to S can be factorized through L1(τ).

Bibliographic Details

Published in:	Indagationes mathematicae Vol. 26; no. 1; pp. 142 - 146
Main Authors:	Tikhonov, O.E., Veselova, L.V.
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.01.2015
Subjects:	Factorization of operators Measurable operator Positive operator Tracial normal state von Neumann algebra Measurable operator Factorization of operators Tracial normal state von Neumann algebra Positive operator
ISSN:	0019-3577, 1872-6100
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!