Spectral properties of partial *-algebras

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