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Matematicheskie Zametki, 2005, Volume 77, Issue 2, Pages 258–272
DOI: https://doi.org/10.4213/mzm2488 (Mi mzm2488) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On the limits of generalization of the Kolmogorov integral

A. P. Solodov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (234 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm2488
Abstract: The generalization of the Kolmogorov integral to functions with values in a Banach space is considered. It is proved that the resulting integral turns out to be essentially more general than the Bochner integral and is exactly equivalent to an integral of McShane type, whose definition requires that the scaling function be measurable.
Received: 09.06.2003
English version:
Mathematical Notes, 2005, Volume 77, Issue 2, Pages 232–245
DOI: https://doi.org/10.1007/s11006-005-0023-1
Bibliographic databases:
UDC: 517.518.126
Language: Russian
Citation: A. P. Solodov, “On the limits of generalization of the Kolmogorov integral”, Mat. Zametki, 77:2 (2005), 258–272; Math. Notes, 77:2 (2005), 232–245
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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