Search results for " locally convex spaces"

showing 4 items of 4 documents

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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A Birkhoff type integral and the Bourgain property in a locally convex space

2007

An integral, called the $Bk$-integral, for functions taking values in a locally convex space is defined. Properties of $Bk$-integrable functions are considered and the relations with other integrals are studied. Moreover the $Bk$-integrability of bounded functions is compared with the Bourgain property.

Pettis integralMcShane integralPure mathematicsMathematical analysisConvex setlocally convex spaceRiemann–Stieltjes integralRiemann integralSingular integral28B05symbols.namesakePettis integral McShane integral Birkho integral locally convex spacesBounded functionPettis integralsymbolsPaley–Wiener integralGeometry and TopologyDaniell integralAnalysisBirkhoff integral46G10Mathematics
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The Variational Mcshane Integral in Locally Convex Spaces

2009

The variational McShane integral for functions taking values in a locally convex space is defined, and it is characterized by means of the p-variation of the indefinite Pettis integral

Pettis integralConvex analysisMcShane integralPure mathematicsPettis integral McShane integral variational McShane integral locally convex spacesGeneral MathematicsMathematical analysisvariational McShane integral28B05Settore MAT/05 - Analisi Matematicalocally convex spacesLocally convex topological vector spacePettis integral46G10MathematicsRocky Mountain Journal of Mathematics
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An overview on bounded elements in some partial algebraic structures

2015

The notion of bounded element is fundamental in the framework of the spectral theory. Before implanting a spectral theory in some algebraic or topological structure it is needed to establish which are its bounded elements. In this paper, we want to give an overview on bounded elements of some particular algebraic and topological structures, summarizing our most recent results on this matter.

Pure mathematicsEngineeringSpectral theorySettore MAT/05 - Analisi MatematicaAlgebraic structurebusiness.industryBounded functionStructure (category theory)Mechanical engineeringBounded elements (*-semisimple topological) partial *-algebras C*-inductive locally convex spacesAlgebraic numberElement (category theory)business
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