Resumen de On the adjoint of a symmetric operator

Jussi Behrndt, Matthias Langer

• 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.