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.
Bellomonte, G., Di Bella, S., Trapani, C. (2014). Operators in Rigged Hilbert spaces: some spectral properties. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 411, 931-946 [10.1016/j.jmaa.2013.10.025].
Operators in Rigged Hilbert spaces: some spectral properties
BELLOMONTE, Giorgia;DI BELLA, Salvatore;TRAPANI, Camillo
2014-01-01
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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Operators in RHS_ spectral prop.pdf
accesso aperto
Dimensione
376.77 kB
Formato
Adobe PDF
|
376.77 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
