Factorization properties of subdiagonal algebras


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Abstract

Let M be a von Neumann algebra equipped with a normal finite faithful normalized trace τ, and let A be a tracial subalgebra of M. Let E be a symmetric quasi-Banach space on [0, 1]. We show that A has an LE(M)-factorization if and only if A is a subdiagonal algebra.

About the authors

T. N. Bekjan

L. N. Gumilyov Eurasian National University

Author for correspondence.
Email: bekjant@yahoo.com
Kazakhstan, Astana

K. N. Ospanov

L. N. Gumilyov Eurasian National University

Email: bekjant@yahoo.com
Kazakhstan, Astana

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