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Positive Self-Adjoint Operator Extensions with Applications to Differential Operators

Brown, B.M., Evans, W.D., Wood, I. G. (2019) Positive Self-Adjoint Operator Extensions with Applications to Differential Operators. Integral Equations and Operator Theory, . ISSN 0378-620X. (doi:10.1007/s00020-019-2540-4) (KAR id:76184)

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Abstract

In this paper we consider extensions of positive operators. We study the connections between the von Neumann theory of extensions and characterisations of positive extensions via decompositions of the domain of the associated form. We apply the results to elliptic second-order differential operators and look in particular at examples of the Laplacian on a disc and the Aharanov-Bohm operator.

Item Type: Article
DOI/Identification number: 10.1007/s00020-019-2540-4
Uncontrolled keywords: Operator extensions, Von Neumann theory, Sesquilinear form Elliptic operators, Aharonov–Bohm operator
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Ian Wood
Date Deposited: 04 Sep 2019 13:46 UTC
Last Modified: 16 Feb 2021 14:07 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/76184 (The current URI for this page, for reference purposes)
Wood, I. G.: https://orcid.org/0000-0001-7181-7075
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