Selfadjoint and \(m\) sectorial extensions of Sturm-Liouville operators

DOI10.1007/s00020-016-2296-zzbMath1394.47030arXiv1604.03170OpenAlexW2963133912WikidataQ59475062 ScholiaQ59475062MaRDI QIDQ300816

B. Malcolm Brown, W. Desmond Evans

Publication date: 29 June 2016

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.03170

zbMATH Keywords

Sturm-Liouville operatoroperator extensions

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of ordinary differential operators (47E05) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (6)

The proper dissipative extensions of a dual pair ⋮ Boundary conditions associated with the general left-definite theory for differential operators ⋮ The nonproper dissipative extensions of a dual pair ⋮ Friedrichs extensions of a class of singular Hamiltonian systems ⋮ Non-negative extensions of Hamiltonian systems ⋮ Positive self-adjoint operator extensions with applications to differential operators

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• A New Characterization of the Friedrichs Extension of Semibounded Sturm-Liouville Operators
• A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains
• Abstract Boundary Conditions for Maximal Sectorial Extensions of Sectorial Operators

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