Integration by means of Riemann sums in Banach spaces. II (Q1190755)

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scientific article; zbMATH DE number 56216
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Integration by means of Riemann sums in Banach spaces. II
scientific article; zbMATH DE number 56216

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    Integration by means of Riemann sums in Banach spaces. II (English)
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    26 September 1992
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    Summary: The discussion of the \((\mu,{\mathfrak X})\)-integral introduced in Part I (see the review above) is continued: We investigate the relationship of this integral to the Haupt-Aumann-Pauc integral, the Pettis integral and the Bochner integral. Furthermore, we deal with the representation of iterated integrals as limits of filtered families of iterated Riemann sums.
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    integration in Banach spaces
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    Birkhoff integral
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    Haupt-Aumann-Pauc integral
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    Pettis integral
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    Bochner integral
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    iterated integrals
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    iterated Riemann sums
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