Some remarks on the notions of boundary systems and boundary triple(t)s
Waurick, Marcus and Wegner, Sven-Ake (2018) Some remarks on the notions of boundary systems and boundary triple(t)s. Mathematische Nachrichten. ISSN 0025-584X (https://doi.org/10.1002/mana.201700417)
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Abstract
In this note we show that if a boundary system in the sense of (Schubert et al. 2015) gives rise to any skew‐self‐adjoint extension, then it induces a boundary triplet and the classification of all extensions given by (Schubert et al. 2015) coincides with the skew‐symmetric version of the classical characterization due to (Gorbachuk et al. 1991). On the other hand we show that for every skew‐symmetric operator there is a natural boundary system which leads to an explicit description of at least one maximal dissipative extension. This is in particular also valid in the case that no boundary triplet exists for this operator.
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Item type: Article ID code: 65878 Dates: DateEvent4 July 2018Published4 July 2018Published Online26 March 2018AcceptedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 29 Oct 2018 10:05 Last modified: 04 Aug 2024 01:39 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/65878