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CAMILLO TRAPANI

Bicommutants of reduced unbounded operator algebras

  • Authors: Bagarello, F; Inoue, A; Trapani, C
  • Publication year: 2009
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: 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.