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On integration in Banach spaces. IX: Integration with respect to polymeasures. (English) Zbl 0688.28003

Some generalizations of results from Parts I and II of this series to the case of polymeasures studied in Part VIII are given (see the references given in the review above). These include a generalization of Lebesgue dominated convergence theorem. The comparison with other approaches to the subject due to several authors (as Ylinen, Kluvánek, Chang, Rao, Katsares) is postponed to subsequent papers.
Reviewer: Gr.Arsene

MSC:

28B05 Vector-valued set functions, measures and integrals
46G10 Vector-valued measures and integration
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References:

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