Bicommutants of reduced unbounded operator algebras
- Autori: Bagarello, F; Inoue, A; Trapani, C
- Anno di pubblicazione: 2009
- Tipologia: Articolo in rivista (Articolo in rivista)
- Parole Chiave: Bicommutant; Unbounded operator algebras
- OA Link: http://hdl.handle.net/10447/40139
Abstract
The unbounded bicommutant M_E’ of the reduction of an O*-algebraM via a given projection E' weakly commuting with M is studied, with the aim of finding conditions under which the reduction of a GW*-algebra is a GW*-algebra itself. The obtained results are applied to the problem of the existence of conditional expectations on O*-algebras.