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A Schur-Horn type theorem for II$_1$ factors
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classification
math.OAmath.FA
keywords
schur-horntheoremversionarvesonconjecturecontractivefactorfactors
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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