Behrndt, Jussi and Langer, Matthias
(2010)
*On the adjoint of a symmetric operator.*
Journal of the London Mathematical Society, 82 (3).
pp. 563-580.

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 |
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ID code: | 29143 |

Keywords: | symmetric operator, adjoint, self-adjoint extension, boundary mappings, Green's identity, surjectivity condition, Mathematics, Mathematics(all) |

Subjects: | Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics |

Depositing user: | Pure Administrator |

Date Deposited: | 07 Mar 2011 23:26 |

Last modified: | 10 Dec 2015 19:46 |

URI: | http://strathprints.strath.ac.uk/id/eprint/29143 |

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