A notion of resolvent set for an operator acting in a rigged Hilbert space $\D \subset \H\subset \D^\times$ is proposed. This set depends on a family of intermediate locally convex spaces living between $\D$ and $\D^\times$, called interspaces. Some properties of the resolvent set and of the corresponding multivalued resolvent function are derived and some examples are discussed.
|Numero di pagine||16|
|Rivista||Journal of Mathematical Analysis and Applications|
|Stato di pubblicazione||Published - 2014|
All Science Journal Classification (ASJC) codes
- Applied Mathematics