English

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

Operator Algebras 2008-02-19 v4 Functional Analysis

Abstract

Given a II1_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).

Keywords

Cite

@article{arxiv.math/0604120,
  title  = {A Schur-Horn type theorem for II$_1$ factors},
  author = {M. Argerami and P. Massey},
  journal= {arXiv preprint arXiv:math/0604120},
  year   = {2008}
}

Comments

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

R2 v1 2026-07-22T17:34:02.043Z