Bongiorno, B.; Di Piazza, L.; Musiał, K. Kurzweil-Henstock and Kurzweil-Henstock-Pettis integrability of strongly measurable functions. (English) Zbl 1112.26015 Math. Bohem. 131, No. 2, 211-223 (2006). Summary: We study the integrability of Banach valued strongly measurable functions defined on \([0,1]\). In case of functions \(f\) given by \(\sum _{n=1}^{\infty } x_n\chi _{E_n}\), where \(x_n \) belong to a Banach space and the sets \(E_n\) are Lebesgue measurable and pairwise disjoint subsets of \([0,1]\). We give some conditions for the Kurzweil-Henstock and the Kurzweil-Henstock-Pettis integrability of such functions. Cited in 1 ReviewCited in 3 Documents MSC: 26A42 Integrals of Riemann, Stieltjes and Lebesgue type 26A39 Denjoy and Perron integrals, other special integrals 26A45 Functions of bounded variation, generalizations Keywords:Pettis integral PDFBibTeX XMLCite \textit{B. Bongiorno} et al., Math. Bohem. 131, No. 2, 211--223 (2006; Zbl 1112.26015) Full Text: EuDML Link