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A Schur-Horn type theorem for II1 factors

M. Argerami, P. Massey

math.OAarXiv:math/0604120

Abstract

Given a II1 factor M and a masa A of M, we prove a version of the Schur-Horn Theorem, together with a contractive version. These results are inspired on a recent conjecture of Arveson and Kadison (math.OA/0508482).

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