Search results for "Radon–Nikodym theorem"

showing 6 items of 6 documents

Radon-Nikodym theorem in quasi *-algebras

2013

In this paper some properties of continuous representable linear functionals on a quasi $*$-algebra are investigated. Moreover we give properties of operators acting on a Hilbert algebra, whose role will reveal to be crucial for proving a Radon-Nikodym type theorem for positive linear functionals.

Radon–Nikodym theoremPure mathematicsAlgebra and Number TheorySettore MAT/05 - Analisi MatematicaMathematical analysisRadon–Nikodym theorem for positive linear functionals.MathematicsJournal of Operator Theory
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Radon–Nikodym Property and Area Formula for Banach Homogeneous Group Targets

2013

We prove a Rademacher-type theorem for Lipschitz mappings from a subset of a Carnot group to a Banach homogeneous group, equipped with a suitably weakened Radon-Nikodym property. We provide a metric area formula that applies to these mappings and more generally to all almost everywhere metrically differentiable Lipschitz mappings defined on a Carnot group. peerReviewed

Discrete mathematicsMathematics::Functional AnalysisProperty (philosophy)General Mathematicsmetric area formulata111Mathematics::Analysis of PDEsCarnot groupBanach homogeneous groupsalmost everywhere differentiabilityRadon-Nikodym propertyLipschitz continuityRadon–Nikodym theoremBanach homogeneous groups; metric area formula; almost everywhere differentiability; Radon-Nikodym propertyMetric (mathematics)Homogeneous groupMathematics::Metric GeometryAlmost everywhereDifferentiable functionMathematics
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On almost sure convergence of amarts and martingales without the Radon-Nikodym property

1988

It is shown here that for any Banach spaceE-valued amart (X n) of classB, almost sure convergence off(Xn) tof(X) for eachf in a total subset ofE * implies scalar convergence toX.

Statistics and ProbabilityRadon–Nikodym theoremDiscrete mathematicsPure mathematicsConvergence of random variablesGeneral MathematicsScalar (mathematics)Statistics Probability and UncertaintyMathematicsJournal of Theoretical Probability
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Radon-Nikodym derivatives of finitely additive interval measures taking values in a Banach space with basis

2011

Let X be a Banach space with a Schauder basis {en}, and let Φ(I)= ∑n en ∫I fn(t)dt be a finitely additive interval measure on the unit interval [0, 1], where the integrals are taken in the sense of Henstock–Kurzweil. Necessary and sufficient conditions are given for Φ to be the indefinite integral of a Henstock–Kurzweil–Pettis (or Henstock, or variational Henstock) integrable function f:[0, 1] → X.

Pettis integralDiscrete mathematicsPure mathematicsHenstock–Kurzweil integralApplied MathematicsGeneral MathematicsBanach spaceMeasure (mathematics)Schauder basisRadon–Nikodym theoremSettore MAT/05 - Analisi MatematicaHenstock-Kurzweil integral Henstock-Kurzweil-Pettis integral Henstock integral variational Henstock integral Pettis integralLocally integrable functionMathematicsUnit intervalActa Mathematica Sinica, English Series
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The Radon-Nikodym Theorem. Duality

1998

The band in M( ℜ) generated by a particular real measure μ can be characterized in various ways.

Radon–Nikodym theoremsymbols.namesakePure mathematicsFenchel's duality theoremsymbolsKronecker's theoremStrong dualityDuality (optimization)Danskin's theoremMeasure (mathematics)Poincaré dualityMathematics
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L p-Spaces and the Radon–Nikodym Theorem

2020

In this chapter, we study the spaces of functions whose pth power is integrable. In Section 7.2, we first derive some of the important inequalities (Holder, Minkowski, Jensen) and then in Section 7.3 investigate the case p=2 in more detail.

Radon–Nikodym theoremSection (fiber bundle)symbols.namesakePure mathematicsIntegrable systemMinkowski spaceHilbert spacesymbolsMathematicsNormed vector space
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