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Positive self-adjoint operator extensions with applications to differential operators

Brown, Brian, Evans, W D. and Wood, I G. 2019. Positive self-adjoint operator extensions with applications to differential operators. Integral Equations and Operator Theory 91 , 41. 10.1007/s00020-019-2540-4

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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 Aharonov–Bohm operator.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Computer Science & Informatics
Mathematics
Publisher: Springer Verlag (Germany)
ISSN: 0378-620X
Date of First Compliant Deposit: 23 September 2019
Date of Acceptance: 30 August 2019
Last Modified: 30 Nov 2019 06:44
URI: http://orca-mwe.cf.ac.uk/id/eprint/125269

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