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)

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.

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• Item metadata

  Item type:	Article
  ID code:	29143
  Dates:	Date Event 2010 Published 15 September 2010 Published Online
  Subjects:	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