Abstract
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.
Lingua originale | English |
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pagine (da-a) | 931-946 |
Numero di pagine | 16 |
Rivista | Journal of Mathematical Analysis and Applications |
Volume | 411 |
Stato di pubblicazione | Published - 2014 |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics