On the adjoint of a symmetric operator
- Autores: Jussi Behrndt, Matthias Langer
- Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 82, Nº 3, 2010, págs. 563-580
- Idioma: inglés
- DOI: 10.1112/jlms/jdq040
- Enlaces
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Resumen
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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