Diagonals of Self-adjoint Operators with Finite Spectrum

DOI10.4064/ba8024-12-2015zbMath1335.42036arXiv1302.5106OpenAlexW2963859797MaRDI QIDQ2787109

Marcin Bownik, John Jasper

Publication date: 24 February 2016

Published in: Bulletin Polish Acad. Sci. Math. (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.5106

zbMATH Keywords

finite spectrumPythagorean theoremSchur-Horn theoremdiagonals of self-adjoint operators

Mathematics Subject Classification ID

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

Related Items (4)

Admissible sequences of positive operators ⋮ Closed convex hulls of unitary orbits in \({C^{\ast}_{r}(\mathbb{F}_{\infty})}\) ⋮ Multivariable Schur–Horn theorems ⋮ The Schur-Horn Theorem for operators with finite spectrum

Cites Work

• An infinite dimensional Schur-Horn theorem and majorization theory
• An infinite dimensional version of the Schur-Horn convexity theorem
• The Schur-Horn theorem for operators with three point spectrum
• A survey on the interplay between arithmetic mean ideals, traces, lattices of operator ideals, and an infinite Schur-Horn majorization theorem
• The Pythagorean Theorem: I. The finite case
• The Pythagorean Theorem: II. The infinite discrete case
• The Schur-Horn Theorem for operators with finite spectrum
• Diagonals of normal operators with finite spectrum
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix
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