Diagonals of Self-adjoint Operators with Finite Spectrum

• Autorzy: Marcin Bownik , John Jasper
• Języki publikacji: EN

Abstrakty

EN

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).

Kategorie tematyczne

• 47B15: Hermitian and normal operators (spectral measures, functional calculus, etc.)
• 42C15: General harmonic expansions, frames
• 46C05: Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2015
• Tom: 63
• Numer: 3
• Strony: 249-260

Daty

wydano

2015

Twórcy

autor

Marcin Bownik

• Department of Mathematics, University of Oregon, Eugene, OR 97403-1222, U.S.A.

autor

John Jasper

• Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025, U.S.A.

Identyfikatory

DOI

10.4064/ba8024-12-2015