6533b821fe1ef96bd127c314

RESEARCH PRODUCT

Riemann type integrals for functions taking values in a locally convex space

Valeria Marraffa

subject

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 setMathematics

description

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.

https://doi.org/10.1007/s10587-006-0030-8