Search results for "Gelfand–Naimark theorem"

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WQ*-algebras of measurable operators

2012

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.

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*-algebraMathematicsIndian Journal of Pure and Applied Mathematics
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