Completeness of rank one perturbations of normal operators with lacunary spectrum

DOI10.4171/JST/190zbMath1440.42025arXiv1510.02717OpenAlexW2270270354MaRDI QIDQ1708563

Dmitry V. Yakubovich, Anton D. Baranov

Publication date: 23 March 2018

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.02717

zbMATH Keywords

selfadjoint operatorrank one perturbationcompleteness of eigenvectorsPólya peaks

Mathematics Subject Classification ID

Completeness of sets of functions in nontrigonometric harmonic analysis (42C30) Completeness of sets of functions in one variable harmonic analysis (42A65)

Related Items (6)

Spectral synthesis in Hilbert spaces of entire functions ⋮ On matching distance between eigenvalues of unbounded operators ⋮ Reducing subspaces for rank-one perturbations of normal operators ⋮ Weighted join operators on directed trees ⋮ Spectral theory of rank one perturbations of normal compact operators ⋮ Spectrum localization of a perturbed operator in a strip and applications

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