Behrndt, Jussi and Langer, Matthias (2010) On the adjoint of a symmetric operator. Journal of the London Mathematical Society, 82 (3). pp. 563-580.
Full text not available in this repository. (Request a copy from the Strathclyde author)Official URL: http://dx.doi.org/10.1112/jlms/jdq040
Abstract
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.
| Item type: | Article |
|---|---|
| ID code: | 29143 |
| Keywords: | symmetric operator, adjoint, self-adjoint extension, boundary mappings, Green's identity, surjectivity condition, Mathematics |
| Subjects: | Science > Mathematics |
| Department: | Faculty of Science > Mathematics and Statistics |
| Related URLs: | |
| Depositing user: | Pure Administrator |
| Date Deposited: | 07 Mar 2011 23:26 |
| Last modified: | 12 Mar 2012 11:23 |
| URI: | http://strathprints.strath.ac.uk/id/eprint/29143 |
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