Preservation of absolutely continuous spectrum for contractive operators

DOI10.1090/spmj/1765arXiv2010.07908OpenAlexW3093239378MaRDI QIDQ6167980

S. R. Treil', Constanze Liaw

Publication date: 10 July 2023

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07908

zbMATH Keywords

dimension functionabsolutely continuous spectrumcontractive operatorstrace class perturbations

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Spaces of bounded analytic functions of one complex variable (30H05) Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Hardy spaces (30H10)

Related Items (1)

Spectral properties of singular Sturm-Liouville operators via boundary triples and perturbation theory

Cites Work

• Perturbation of continuous spectra by unbounded operators. II
• General Clark model for finite-rank perturbations
• Inner functions and related spaces of pseudo-continuable functions
• An abstract stationary approach to perturbation of continuous spectra and scattering theory
• On perturbations of the spectrum of unitary operators
• Harmonic analysis of operators on Hilbert space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Preservation of absolutely continuous spectrum for contractive operators