The Schur-Horn Theorem for operators with finite spectrum

Bownik, Marcin; Jasper, John

doi:10.1090/S0002-9947-2015-06317-X

The Schur-Horn Theorem for operators with finite spectrum
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by Marcin Bownik and John Jasper PDF

Trans. Amer. Math. Soc. 367 (2015), 5099-5140 Request permission

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.

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