Diagonals of Self-adjoint Operators with Finite Spectrum
Marcin Bownik ; John Jasper
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 63 (2015), p. 249-260 / Harvested from The Polish Digital Mathematics Library
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Given a finite set X⊆ 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 (2002) and the second author's result for operators with three-point spectrum (2013).

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:281157 
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Marcin Bownik; John Jasper. Diagonals of Self-adjoint Operators with Finite Spectrum. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 63 (2015) pp. 249-260. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba8024-12-2015/