Fischbacher, Christoph, Naboko, Serguei, Wood, Ian (2016) The Proper Dissipative Extensions of a Dual Pair. Integral Equations and Operator Theory, 85 (4). pp. 573-599. ISSN 0378-620X. (doi:10.1007/s00020-016-2310-5) (KAR id:57819)
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Official URL: http://dx.doi.org/10.1007/s00020-016-2310-5 |
Abstract
Let A and B be dissipative operators on a Hilbert space H and let (A,B) form a dual pair, i.e. A ? B*, resp. B ? A*. We present a method of determining the proper dissipative extensions C of this dual pair, i.e. A ? C ? B* provided that D(A) ? D(B) is dense in H. Applications to symmetric operators, symmetric operators perturbed by a relatively bounded dissipative operator and more singular differential operators are discussed. Finally, we investigate the stability of the numerical range of the different dissipative extensions.
Item Type: | Article |
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DOI/Identification number: | 10.1007/s00020-016-2310-5 |
Uncontrolled keywords: | Dissipative operators, Operator extensions, Dual pairs |
Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equations |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Funders: |
Organisations -1 not found. Organisations -1 not found. Organisations -1 not found. |
Depositing User: | Ian Wood |
Date Deposited: | 09 Oct 2016 15:36 UTC |
Last Modified: | 08 Dec 2022 21:33 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/57819 (The current URI for this page, for reference purposes) |
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