6533b7d9fe1ef96bd126c7f4

RESEARCH PRODUCT

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

Valeria Marraffa

subject

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

description

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

yearjournalcountryeditionlanguage
2008-01-01
10.1016/j.jmaa.2007.09.033http://hdl.handle.net/10447/8626