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Dobrakov, Ivan

On integration in Banach spaces. VII. (English) Zbl 0674.28003

Czech. Math. J. 38(113), No. 3, 434-449 (1988).
This part of author’s series dedicated to an integration theory for Banach space valued functions contains some complements and extensions of results from previous parts [especially Part III and Part V, same journal 29(104), 478-499 (1979; Zbl 0429.28011), ibid. 30(105), 610-628 (1980; Zbl 0506.28004), respectively] as well as connections with classical Kolmogorov integration theory and the work of M. Sion [“A theory of semigroup valued measures”, Lect. Notes Math. 355 (1973; Zbl 0312.28016)].
[For Part VI, same journal 35(110), 173-187 (1985) see Zbl 0628.28007.]
Reviewer: Gr.Arsene

Cited in 3 Reviews
Cited in 12 Documents

MSC:

28B05 Vector-valued set functions, measures and integrals
46G10 Vector-valued measures and integration
28B10 Group- or semigroup-valued set functions, measures and integrals

Keywords:

integration theory for Banach space valued functions; Kolmogorov integration theory; semigroup valued measures

Citations:

Zbl 0429.28011; Zbl 0506.28004; Zbl 0312.28016; Zbl 0628.28007
PDFBibTeX XMLCite
\textit{I. Dobrakov}, Czech. Math. J. 38(113), No. 3, 434--449 (1988; Zbl 0674.28003)
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References:

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[12] Dobrakov I.: On extension of vector polymeasures. Czech. Math. J. 38 (113), (1988), 88-94. · Zbl 0688.28005
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[21] Swartz C.: Weak Fubini theorems for the Dobrakov integral. Czech. Math. J. 30 (105), (1980), 647-654. · Zbl 0506.28006
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