Selfadjoint extensions of the multiplication operator in de Branges spaces as singular rank-one perturbations

DOI10.1080/17476933.2018.1536701OpenAlexW3102272070WikidataQ128970055 ScholiaQ128970055MaRDI QIDQ5227721

Luis O. Silva, Julio H. Toloza

Publication date: 7 August 2019

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09400

zbMATH Keywords

de Branges spacesscale of Hilbert spacessingular rank-one perturbations

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

• A class of \({n}\)-entire Schrödinger operators
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• Some Hilbert Spaces of Entire Functions
• Nevanlinna Functions, Perturbation Formulas, and Triplets of Hilbert Spaces
• The class ofn-entire operators
• Singular Schrödinger operators as self-adjoint extensions of 𝑁-entire operators
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