English

The Schur-Horn theorem for operators with three point spectrum

Functional Analysis 2013-09-16 v2

Abstract

We characterize the set of diagonals of the unitary orbit of a self-adjoint operator with three points in the spectrum. Our result gives a Schur-Horn theorem for operators with three point spectrum analogous to Kadison's result for orthogonal projections.

Keywords

Cite

@article{arxiv.1010.1786,
  title  = {The Schur-Horn theorem for operators with three point spectrum},
  author = {John Jasper},
  journal= {arXiv preprint arXiv:1010.1786},
  year   = {2013}
}
R2 v1 2026-06-21T16:26:02.067Z