6533b86ffe1ef96bd12cdd19
RESEARCH PRODUCT
WQ*-algebras of measurable operators
Salvatore Triolosubject
Discrete mathematicsmonotone closedPure mathematicsApplied MathematicsGeneral MathematicsHilbert spacemodular representation.C*-algebraCQ*-algebrasymbols.namesakeSettore MAT/05 - Analisi MatematicaGelfand–Naimark theoremsymbolsCQ*-algebra; WQ*-algebra; Monotone closed; Modular representationlcsh:QAlgebra over a fieldlcsh:ScienceRepresentation (mathematics)Topology (chemistry)WQ*-algebraMathematicsdescription
Every C*-algebra \(\mathfrak{A}\) has a faithful *-representation π in a Hilbert space \(\mathcal{H}\). Consequently it is natural to pose the following question: under which conditions, the completion of a C*-algebra in a weaker than the given one topology, can be realized as a quasi *-algebra of operators? The present paper presents the possibility of extending the well known Gelfand — Naimark representation of C*-algebras to certain Banach C*-modules.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-12-01 | Indian Journal of Pure and Applied Mathematics |