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CAMILLO TRAPANI

Induced and reduced unbounded operator algebras

  • Authors: Bagarello, F; Inoue, A; Trapani, C
  • Publication year: 2012
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: 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.