Spectral properties of partial *-algebras

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.