6533b853fe1ef96bd12ad738

RESEARCH PRODUCT

An equivalent definition of the vector-valued McShane integral by means of partitions of unity

L. Di PiazzaValeria Marraffa

subject

AlgebraDiscrete mathematicsSettore MAT/05 - Analisi MatematicaGeneral MathematicsPettisMultiplierMcShane and PoU integralMathematics

description

An integral for vector-valued functions on a σ-finite outer regular quasi-radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized

https://doi.org/10.4064/sm151-2-5