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.References
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Additional Information
- Marcin Bownik
- Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403–1222
- MR Author ID: 629092
- Email: mbownik@uoregon.edu
- John Jasper
- Affiliation: Department of Mathematics, University of Missouri, Columbia, Missouri 65211–4100
- Address at time of publication: Department of Mathematics, University of Oregon, Eugene, Oregon 97403–1222
- MR Author ID: 937075
- Email: jasperj@missouri.edu, jjasper@uoregon.edu
- Received by editor(s): May 14, 2013
- Published electronically: February 13, 2015
- Additional Notes: The first author was partially supported by NSF grant DMS-1265711 and by the Simons Foundation grant #244422
The second author was supported by NSF ATD 1042701 - © Copyright 2015 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 367 (2015), 5099-5140
- MSC (2010): Primary 42C15, 47B15; Secondary 46C05
- DOI: https://doi.org/10.1090/S0002-9947-2015-06317-X
- MathSciNet review: 3335412