Quasi *-algebras arising from extensions of positive linear functionals
- Autori: Bellomonte, G
- Anno di pubblicazione: 2010
- Tipologia: eedings
- Parole Chiave: Quasi *-algebras; slight extensions
- OA Link: http://hdl.handle.net/10447/52875
Abstract
In this paper we show how some known quasi *-algebras can also be obtained through the construction of slight extensions of nonclosable positive linear functionals defined on dense *-subalgebras Ao of given topological *-algebras. Moreover, we consider also, for each of the functionals we present, their absolutely convergent extensions and the GNS *-representations of the quasi *-algebras arising in the process of extension.