Positive self-adjoint operator extensions with applications to differential operators

DOI10.1007/s00020-019-2540-4OpenAlexW2973125018WikidataQ127291563 ScholiaQ127291563MaRDI QIDQ2331295

I. G. Wood, W. Desmond Evans, B. Malcolm Brown

Publication date: 28 October 2019

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

Full work available at URL: https://doi.org/10.1007/s00020-019-2540-4

zbMATH Keywords

elliptic operatorsAharonov-Bohm operatoroperator extensionssesquilinear formvon Neumann Theory

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Second-order elliptic equations (35J15) Dilations, extensions, compressions of linear operators (47A20) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (1)

Non-negative extensions of Hamiltonian systems

Cites Work

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• Selfadjoint and \(m\) sectorial extensions of Sturm-Liouville operators
• Extensions of symmetric operators and symmetric binary relations
• Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems
• The Friedrichs extension of the Aharonov-Bohm Hamiltonian on a disc
• Halbbeschränkte gewöhnliche Differentialoperatoren zweiter Ordnung
• M-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems
• A Characterization of the Friedrichs Extension of Sturm-Liouville Operators
• A New Characterization of the Friedrichs Extension of Semibounded Sturm-Liouville Operators

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