6533b7d1fe1ef96bd125c225
RESEARCH PRODUCT
Locally convex quasi *-algebras with sufficiently many *-representations
Camillo TrapaniSalvatore TrioloMaria Fragoulopoulousubject
Fully representable quasi .-algebraApplied MathematicsBounded elementStructure (category theory)Regular polygonQuasi ⁎-algebraCombinatoricsFully representable quasi ⁎-algebraSettore MAT/05 - Analisi MatematicaBounded functionQuasi *-algebraOrder (group theory)Representable linear functionalAnalysisTopology (chemistry)Mathematicsdescription
AbstractThe main aim of this paper is the investigation of conditions under which a locally convex quasi ⁎-algebra (A[τ],A0) attains sufficiently many (τ,tw)-continuous ⁎-representations in L†(D,H), to separate its points. Having achieved this, a usual notion of bounded elements on A[τ] rises. On the other hand, a natural order exists on (A[τ],A0) related to the topology τ, that also leads to a kind of bounded elements, which we call “order bounded”. What is important is that under certain conditions the latter notion of boundedness coincides with the usual one. Several nice properties of order bounded elements are extracted that enrich the structure of locally convex quasi ⁎-algebras.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-04-01 |