On the adjoint of a symmetric operator
Behrndt, Jussi and Langer, Matthias (2010) On the adjoint of a symmetric operator. Journal of the London Mathematical Society, 82 (3). pp. 563-580. (https://doi.org/10.1112/jlms/jdq040)
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In general it is a non-trivial task to determine the adjoint S* of an unbounded symmetric operator S in a Hilbert or Krein space. We propose a method to specify S* explicitly which makes use of two boundary mappings that satisfy an abstract Green's identity and a surjectivity condition, and give rise to a self-adjoint extension of S. We show for various concrete examples how convenient and easily applicable this technique is.
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Item type: Article ID code: 29143 Dates: DateEvent2010Published15 September 2010Published OnlineSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 07 Mar 2011 23:26 Last modified: 08 Apr 2024 18:52 URI: https://strathprints.strath.ac.uk/id/eprint/29143
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