Variational Henstock integrability of Banach space valued functions

We study the integrability of Banach space valued strongly measurable functions defined on $[0,1]$. In the case of functions $f$ given by $\sum\nolimits_{n=1}^{\infty} x_n\chi_{E_n}$, where $x_n $ are points of a Banach space and the sets $E_n$ are Lebesgue measurable and pairwise disjoint subsets o...

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Bibliographic Details
Main Authors: Luisa Di Piazza, Valeria Marraffa, Kazimierz Musiał
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2016-07-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/141/2/mb141_2_10.pdf