The Schur-Horn theorem for operators with finite spectrum

2013/02/19 by Bownik, Marcin, Jasper, John · 1 citation
#42C15 (Primary) 47B15 #46C05 (Secondary) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1302.4757

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.

Cited by

• On regularity of compressions and diagonals of operator functions

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