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A Schur-Horn type theorem for II$_1$ factors

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arxiv math/0604120 v4 pith:6XGWCJ3T submitted 2006-04-05 math.OA math.FA

classification math.OAmath.FA
keywords schur-horntheoremversionarvesonconjecturecontractivefactorfactors
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abstract

Given a II$_1$ 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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