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
• 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.