Given a rigged Hilbert space (D,H,D'), the spaces D_{loc are considered. It is shown that, if D is a Hilbert *-algebra, D_{loc} carry out a natural structure of partial *-algebra. Furthermore, on D_{loc} it is defined a topology, so that D_{loc} is an interspace. Examples from distributions theory are considered.
Tschinke, F. (2014). A note on partial*–algebras and spaces of distributions. In Bollettino di Matematica pura ed applicata, vol VI (pp. 63-69). Roma : ARACNE editrice S.r.l..
A note on partial*–algebras and spaces of distributions
TSCHINKE, Francesco
2014-01-01
Abstract
Given a rigged Hilbert space (D,H,D'), the spaces D_{loc are considered. It is shown that, if D is a Hilbert *-algebra, D_{loc} carry out a natural structure of partial *-algebra. Furthermore, on D_{loc} it is defined a topology, so that D_{loc} is an interspace. Examples from distributions theory are considered.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
template (1).pdf
Solo gestori archvio
Descrizione: Articolo completo
Dimensione
429.11 kB
Formato
Adobe PDF
|
429.11 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
