6533b870fe1ef96bd12cf20f

RESEARCH PRODUCT

Spectral Properties of Partial *-Algebras

Jean-pierre AntoineCamillo TrapaniFrancesco Tschinke

subject

Class (set theory)Pure mathematicsSelection (relational algebra)General MathematicsSpectral propertiesOrder (ring theory)Outcome (probability)AlgebraSpectral propertietopological partial *-algebrasSettore MAT/05 - Analisi MatematicaPoint (geometry)Special caseRealization (systems)Mathematics

description

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 first, in order to find sufficient 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.

yearjournalcountryeditionlanguage
2010-03-23Mediterranean Journal of Mathematics
https://doi.org/10.1007/s00009-010-0034-3