Search results for "Absolutely convex set"

showing 6 items of 6 documents

Normed vector spaces consisting of classes of convex sets

1965

CombinatoricsStrictly convex spaceConvex analysisGeneral MathematicsLocally convex topological vector spaceUniformly convex spaceAbsolutely convex setReflexive spaceTopologyMathematicsDual pairNormed vector spaceMathematische Zeitschrift
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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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An upper bound for nonlinear eigenvalues on convex domains by means of the isoperimetric deficit

2010

We prove an upper bound for the first Dirichlet eigenvalue of the p-Laplacian operator on convex domains. The result implies a sharp inequality where, for any convex set, the Faber-Krahn deficit is dominated by the isoperimetric deficit.

Convex hullConvex analysisp-Laplace operatorGeneral MathematicsMathematical analysisConvex setDirichlet eigenvalueSubderivativeMathematics::Spectral TheoryCombinatoricsupper boundsSettore MAT/05 - Analisi MatematicaConvex polytopeConvex combinationAbsolutely convex setIsoperimetric inequalityMathematics
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Fixed point theory for almost convex functions

1998

Traditionally, metric fixed point theory has sought classes of spaces in which a given type of mapping (nonexpansive, assymptotically or generalized nonexpansive, uniformly Lipschitz, etc.) from a nonempty weakly compact convex set into itself always has a fixed point. In some situations the class of space is determined by the application while there is some degree of freedom in constructing the map to be used. With this in mind we seek to relax the conditions on the space by considering more restrictive types of mappings.

Convex analysisLeast fixed pointPure mathematicsApplied MathematicsMathematical analysisConvex setSubderivativeAbsolutely convex setFixed pointKakutani fixed-point theoremFixed-point propertyAnalysisMathematics
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Envelopes of open sets and extending holomorphic functions on dual Banach spaces

2010

We investigate certain envelopes of open sets in dual Banach spaces which are related to extending holomorphic functions. We give a variety of examples of absolutely convex sets showing that the extension is in many cases not possible. We also establish connections to the study of iterated weak* sequential closures of convex sets in the dual of separable spaces.

Pure mathematicsAlgebra of holomorphic functionsConvex setBanach spaceOpen set46E5046B10Balanced setFOS: MathematicsAbsolutely convex setComplex Variables (math.CV)MathematicsConvex analysisDiscrete mathematicsMathematics - Complex VariablesApplied MathematicsFunctional Analysis (math.FA)46E50; 46B20; 46B10Mathematics - Functional Analysis46B20Absolutely convex setInterpolation spaceReflexive spaceAnalysisBoundedly regular setDual pair
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