6533b823fe1ef96bd127e36d
RESEARCH PRODUCT
A Birkhoff type integral and the Bourgain property in a locally convex space
Valeria Marraffasubject
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 integral46G10Mathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-01-01 |