English

Thompson's theorem for II_1 factors

Operator Algebras 2017-05-09 v2 Functional Analysis

Abstract

A theorem of Thompson provides a non-self-adjoint variant of the classical Schur-Horn theorem by characterizing the possible diagonal values of a matrix with given singular values. We prove an analogue of Thompson's theorem for II_1 factors.

Keywords

Cite

@article{arxiv.1407.1564,
  title  = {Thompson's theorem for II_1 factors},
  author = {Matthew Kennedy and Paul Skoufranis},
  journal= {arXiv preprint arXiv:1407.1564},
  year   = {2017}
}

Comments

21 pages; minor changes

R2 v1 2026-06-22T04:56:31.367Z