Triplet extensions I: Semibounded operators in the scale of Hilbert spaces
Research output: Contribution to journal › Article
The extension theory for semibounded symmetric operators is generalized by including operators acting in a triplet of Hilbert spaces. We concentrate our attention on the case where the minimal operator is essentially self-adjoint in the basic Hilbert space and construct a family of its self-adjoint extensions inside the triplet. All such extensions can be described by certain boundary conditions, and a natural counterpart of Krein's resolvent formula is obtained.
|Research areas and keywords||
Subject classification (UKÄ) – MANDATORY
|Journal||Journal d'Analyse Mathematique|
|Publication status||Published - 2009|