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RESEARCH PRODUCT
Absolutely Convergent Extensions of Nonclosable Positive Linear Functionals
Salvatore TrioloCamillo TrapaniGiorgia Bellomontesubject
Discrete mathematicsExtensions Positive linear functionalsSettore MAT/05 - Analisi MatematicaPositive linear functionalGeneral MathematicsSubalgebraExtension (predicate logic)Algebra over a fieldMathematics::Representation TheoryAbsolute convergenceMathematicsdescription
The existence of extensions of a positive linear functional ω defined on a dense *-subalgebra \({\mathfrak{A}_0}\) of a topological *-algebra \({\mathfrak{A}}\), satisfying certain regularity conditions, is examined. The main interest is focused on the case where ω is nonclosable and sufficient conditions for the existence of an absolutely convergent extension of ω are given.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-03-01 | Mediterranean Journal of Mathematics |