Geodesic
An equivalent definition of the vector-valued McShane integral by means of partitions of unity
L. Di Piazza1 ; V. Marraffa1
1 Department of Mathematics University of Palermo Via Archirafi, 34 90123 Palermo, Italy
Studia Mathematica, Tome 151 (2002) no. 2, pp. 175-185

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

An integral for vector-valued functions on a $\sigma $-finite outer regular quasi-Radon measure space is defined by means of partitions of unity and it is shown that it is equivalent to the McShane integral. The multipliers for both the McShane and Pettis integrals are characterized.
DOI : 10.4064/sm151-2-5
Keywords: integral vector valued functions sigma finite outer regular quasi radon measure space defined means partitions unity shown equivalent mcshane integral multipliers mcshane pettis integrals characterized

L. Di Piazza 1 ; V. Marraffa 1

1 Department of Mathematics University of Palermo Via Archirafi, 34 90123 Palermo, Italy 
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L. Di Piazza; V. Marraffa. An equivalent definition of the vector-valued
 McShane integral by means of partitions of unity. Studia Mathematica, Tome 151 (2002) no. 2, pp. 175-185. doi: 10.4064/sm151-2-5

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