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The McShane and the Pettis integral of Banach space-valued functions defined on $$\mathbb{R}^m$$. (English) Zbl 1038.28009
All the main results of this paper have been proven earlier by D. H. Fremlin [Ill J. Math. 39, 39-67 (1995; Zbl 0810.28006)] in a much more general situation.

##### MSC:
 28B05 Vector-valued set functions, measures and integrals 46G10 Vector-valued measures and integration 26A39 Denjoy and Perron integrals, other special integrals
##### Keywords:
McShane integral; Pettis integral
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