Induced and reduced unbounded operator algebras
- Autori: Bagarello, F; Inoue, A; Trapani, C
- Anno di pubblicazione: 2012
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Induced representation; reduced representation: unbounded operator algebras
- OA Link: http://hdl.handle.net/10447/62971
Abstract
The induction and reduction precesses of an O*-vector space M obtained by means of a projection taken, respectively, inMitself or in its weak bounded commutantM w are studied. In the case where M is a partial GW*-algebra, sufficient conditions are given for the induced and the reduced spaces to be partial GW*-algebras again.