Search results for "Convex space"

showing 10 items of 27 documents

Remarks on the semivariation of vector measures with respect to Banach spaces.

2007

Suppose that and . It is shown that any Lp(µ)-valued measure has finite L2(v)-semivariation with respect to the tensor norm for 1 ≤ p < ∞ and finite Lq(v)-semivariation with respect to the tensor norm whenever either q = 2 and 1 ≤ p ≤ 2 or q > max{p, 2}. However there exist measures with infinite Lq-semivariation with respect to the tensor norm for any 1 ≤ q < 2. It is also shown that the measure m (A) = χA has infinite Lq-semivariation with respect to the tensor norm if q < p.

CombinatoricsDiscrete mathematicsGeneral MathematicsNorm (mathematics)Locally convex topological vector spaceComputingMethodologies_DOCUMENTANDTEXTPROCESSINGBanach spaceInterpolation spaceUniformly convex spaceBanach manifoldLp spaceNormed vector spaceMathematicsBulletin of the Australian Mathematical Society
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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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A four vertex theorem for strictly convex space curves

1993

Convex analysisDiscrete mathematicsConvex hullConvex setSpace curfFour-vertex theoremVertex theoremKrein–Milman theoremConvex spaceStrictly convex spaceVertex (curve)Danskin's theoremGeometry and TopologyMathematics
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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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Strictly convex metric spaces with round balls and fixed points

2005

Convex hullConvex analysisStrictly convex spaceCombinatoricsInjective metric spaceMathematical analysisConvex setConvex bodyConvex combinationConvex metric spaceMathematicsBanach Center Publications
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Weak convergence theorems for asymptotically nonexpansive mappings and semigroups

2001

Convex hullDiscrete mathematicsWeak convergenceSemigroupApplied MathematicsBanach spaceErgodic theoryFixed-point theoremUniformly convex spaceFixed pointAnalysisMathematicsNonlinear Analysis: Theory, Methods & Applications
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Banach spaces which are somewhat uniformly noncreasy

2003

AbstractWe consider a family of spaces wider than r-UNC spaces and we give some fixed point results in the setting of these spaces.

Discrete mathematicsFréchet spaceApplied MathematicsLocally convex topological vector spaceInterpolation spaceUniformly convex spaceBirnbaum–Orlicz spaceBanach manifoldReflexive spaceLp spaceQuantitative Biology::GenomicsAnalysisMathematicsJournal of Mathematical Analysis and Applications
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On the construction of Ljusternik-Schnirelmann critical values in banach spaces

1991

w h e r e f a n d g are functionals on a Banach space X, are considered in many papers. The existence theorems are based on the existence of a critical vector with respect to the manifold M,={xEX: f(x)=r}. Morse theory can often be used to obtain precise information about the behaviour of the functional close to the critical level. However, this would limit the study to Hilbert spaces and functions with nondegenerate critical points. These assumptions are not always satisfied in applications and are not rleeded when applying the Ljusternik--Schnirelmann theory. Therefore, Ljusternik--Schnirelmann theory has been widely used to study various nonlinear eigenvalue problems. Very general result…

Discrete mathematicsGeneral MathematicsEberlein–Šmulian theoremInfinite-dimensional vector functionBanach spaceInterpolation spaceUniformly convex spaceBanach manifoldLp spaceReflexive spaceMathematicsActa Mathematica Hungarica
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The Bishop–Phelps–Bollobás property for operators from c0 into some Banach spaces

2017

Abstract We exhibit a new class of Banach spaces Y such that the pair ( c 0 , Y ) has the Bishop–Phelps–Bollobas property for operators. This class contains uniformly convex Banach spaces and spaces with the property β of Lindenstrauss. We also provide new examples of spaces in this class.

Discrete mathematicsMathematics::Functional AnalysisApproximation propertyApplied Mathematics010102 general mathematicsEberlein–Šmulian theoremBanach spaceUniformly convex spaceBanach manifoldFinite-rank operator01 natural sciences010101 applied mathematicsCombinatoricsInterpolation space0101 mathematicsLp spaceAnalysisMathematicsJournal of Mathematical Analysis and Applications
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