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

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

2006-04-05

arxiv.org/abs/math/0604120v4

Indiana Univ. Math. J., 56 No. 5 (2007), 2051-2060

Mathematics

Operator Algebras

Major revision. To appear in Indiana Univ. J. of Math

Scientific paper

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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