Geodesic
Characterizations of Kurzweil–Henstock–Pettis integrable functions
L. Di Piazza1 ; K. Musiał2
1Department of Mathematics University of Palermo Via Archirafi 34 90123 Palermo, Italy
2Institute of Mathematics Wrocław University Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland
Studia Mathematica, Tome 176 (2006) no. 2, pp. 159-176
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm176-2-4
Keywords: prove several results talagrand proved pettis integral kurzweil henstock pettis integral particular kurzweil henstock pettis integrability characterized cores functions properties suitable operators defined integrands

L. Di Piazza  1   ; K. Musiał  2

1 Department of Mathematics University of Palermo Via Archirafi 34 90123 Palermo, Italy
2 Institute of Mathematics Wrocław University Pl. Grunwaldzki 2/4 50-384 Wrocław, Poland 
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L. Di Piazza; K. Musiał. Characterizations of
 Kurzweil–Henstock–Pettis integrable functions. Studia Mathematica, Tome 176 (2006) no. 2, pp. 159-176. doi: 10.4064/sm176-2-4

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