Search results for "Choquet theory"

showing 4 items of 4 documents

Convex bodies and convexity on Grassmann cones

1962

CombinatoricsConvex analysisMixed volumeGeneral MathematicsConvex polytopeProper convex functionConvex setGeometrySubderivativeChoquet theoryConvexityMathematicsArchiv der Mathematik
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A remark on weakly convex continuous mappings in topological linear spaces

2009

Abstract Let C be a compact convex subset of a Hausdorff topological linear space and T : C → C a continuous mapping. We characterize those mappings T for which T ( C ) is convexly totally bounded.

Connected spaceHausdorff spaceWeakly convex continuous mappingTopological linear space weakly convex continuous mapping convexly totally bounded set weak Zima type set.TopologyChoquet theoryTopological linear spaceTopological vector spaceBounded operatorContinuous linear operatorWeak Zima type setLocally convex topological vector spaceConvexly totally bounded setGeometry and TopologyReflexive spaceMathematicsTopology and its Applications
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Non absolutely convergent integrals of functions taking values in a locally convex space

2006

Properties of McShane and Kurzweil-Henstock integrable functions taking values in a locally convex space are considered and the relations with other integrals are studied. A convergence theorem for the Kurzweil-Henstock integral is given

Convex analysisMcShane integralGeneral MathematicsMathematical analysisConvex setProper convex functionSubderivativeKurzweil-Henstock integralChoquet theory28B05McShaneintegral Pettis integralSettore MAT/05 - Analisi MatematicaLocally convex topological vector spacelocally convex spacesPettis integralConvex combinationAbsolutely convex setMathematics46G10
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Riemann type integrals for functions taking values in a locally convex space

2006

The McShane and Kurzweil-Henstock integrals for functions taking values in a locally convex space are defined and the relations with other integrals are studied. A characterization of locally convex spaces in which Henstock Lemma holds is given.

Convex analysisPure mathematicsGeneral MathematicsMathematical analysisMathematics::Classical Analysis and ODEsProper convex functionConvex setSubderivativeChoquet theoryLocally convex topological vector spaceConvex combinationPettis integral McShane integral Kurzweil-Henstock integral locally convex spacesAbsolutely convex setMathematicsCzechoslovak Mathematical Journal
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