Diagonals of Self-adjoint Operators with Finite Spectrum

• Autorzy: Bownik M. , Jasper J.

Identyfikatory

DOI

10.4064/ba8024-12-2015

• 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).

Słowa kluczowe

EN

diagonals of self-adjoint operators; Schur–Horn theorem; Pythagorean theorem; Carpenter theorem; spectral theory

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2015
• Tom: Vol. 63, no. 3
• Strony: 249--260
• Opis fizyczny: Bibliogr. 13 poz., wykr.

Twórcy

autor

Bownik M.

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

autor

Jasper J.

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

Bibliografia

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• [11] V. Kaftal and G. Weiss, An infinite-dimensional Schur–Horn theorem and majorization theory, J. Funct. Anal. 259 (2010), 3115–3162.
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