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CAMILLO TRAPANI

Spectral properties of partial *-algebras

  • Authors: Antoine, J.-P ; Trapani, C; Tschinke, F
  • Publication year: 2010
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: Spectral properties; topological partial *-algebras
  • OA Link: http://hdl.handle.net/10447/50031

Abstract

We continue our study of topological partial *algebras focusing our attention to some basic spectral properties. The special case of partial *- algebras of operators is examined ¯rst, in order to ¯nd su±cient hints for the study of the abstract case. The outcome consists in the selection of a class of topological partial *-algebras (partial GC*-algebras) that behave well from the spectral point of view and that allow, under certain conditions, a faithful realization as a partial O*-algebra.