The Schur-Horn theorem for operators with finite spectrum
Functional Analysis
2013-02-21 v1
Abstract
We characterize the set of diagonals of the unitary orbit of a self-adjoint operator with a finite spectrum. Our result extends the Schur-Horn theorem from a finite dimensional setting to an infinite dimensional Hilbert space analogous to Kadison's theorem for orthogonal projections and the second author's result for operators with three point spectrum.
Keywords
Cite
@article{arxiv.1302.4757,
title = {The Schur-Horn theorem for operators with finite spectrum},
author = {Marcin Bownik and John Jasper},
journal= {arXiv preprint arXiv:1302.4757},
year = {2013}
}