Search results for "Weakly completely continuous operator"

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A characterization of strongly measurable Henstock-Kurzweil integrable functions and weakly continuous operators

2008

We give necessary and sufficient conditions for the Kurzweil–Henstock integrability of functions given by f =n=1 xnχEn , where xn belong to a Banach space and the sets (En)n are measurable and pairwise disjoint. Also weakly completely continuous operators between Banach spaces are characterized by means of scalarly Kurzweil–Henstock integrable functions

Kurzweil–Henstock integralSettore MAT/05 - Analisi MatematicaPettis integralWeakly completely continuous operator

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