Fischbacher, Christoph, Naboko, Serguei, Wood, Ian (2023) Complete Non-Selfadjointness for Schrödinger Operators on the Semi-Axis. Algebra i Analiz / St. Petersburg Mathematical Journal, 35 (1). pp. 283-303. (Access to this publication is currently restricted. You may be able to access a copy if URLs are provided) (KAR id:99934)
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Abstract
In this note we investigate complete non-selfadjointness for all maximally dissipative extensions of a Schr¨odinger operator on a half-line with dissipative bounded potential and dissipative boundary condition. We show that all maximally dissipative extensions that preserve the differential expression are completely non-selfadjoint. However, it is possible for maximally dissipative extensions to have a one-dimensional reducing subspace on which the operator is selfadjoint. We give a characterisation of these extensions and the corresponding subspaces and present a specific example.
Item Type: | Article |
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Subjects: | Q Science > QA Mathematics (inc Computing science) |
Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
Funders: | University of Kent (https://ror.org/00xkeyj56) |
Depositing User: | Ian Wood |
Date Deposited: | 07 Feb 2023 15:04 UTC |
Last Modified: | 25 Sep 2023 09:33 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/99934 (The current URI for this page, for reference purposes) |
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