Marcin Bownik, John Jasper
Published 2013-02-19, updated 2014-05-28Version 2
Given a finite set $X\subseteq\R$ we characterize the diagonals of self-adjoint operators with spectrum $X$. 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.
Comments: arXiv admin note: text overlap with arXiv:1302.4757
The Schur-Horn theorem for operators with finite spectrum
On the essential spectrum of the sum of self-adjoint operators and the closedness of the sum of operator ranges
Convergence of functions of self-adjoint operators and applications
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