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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Official URL: http://dx.doi.org/10.1007/s00020-019-2540-4
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 |
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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: | 29 Jun 2020 14:24 |
URI: | http://orca-mwe.cf.ac.uk/id/eprint/125269 |
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