Characterizations of Kurzweil-Henstock-Pettis integrable functions
L. Di Piazza, K. Musiał (2006)
Studia Mathematica
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We prove that several results of Talagrand proved for the Pettis integral also hold for the Kurzweil-Henstock-Pettis integral. In particular the Kurzweil-Henstock-Pettis integrability can be characterized by cores of the functions and by properties of suitable operators defined by integrands.