An equivalent definition of the vector-valued McShane integral by means of partitions of unity
L. Di Piazza ; V. Marraffa
Studia Mathematica, Tome 151 (2002), p. 175-185 / Harvested from The Polish Digital Mathematics Library
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An integral for vector-valued functions on a σ-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.

Publié le : 2002-01-01
EUDML-ID : urn:eudml:doc:284999 
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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) pp. 175-185. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm151-2-5/