Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Sol05}
\by A.~P.~Solodov
\paper On the limits of generalization of the Kolmogorov integral
\jour Mat. Zametki
\yr 2005
\vol 77
\issue 2
\pages 258--272
\mathnet{http://mi.mathnet.ru/mzm2488}
\crossref{https://doi.org/10.4213/mzm2488}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2157094}
\zmath{https://zbmath.org/?q=an:1073.28007}
\elib{https://elibrary.ru/item.asp?id=9150073}
\transl
\jour Math. Notes
\yr 2005
\vol 77
\issue 2
\pages 232--245
\crossref{https://doi.org/10.1007/s11006-005-0023-1}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000227418800023}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-20144370696}
Linking options:
  • https://www.mathnet.ru/eng/mzm2488
  • https://doi.org/10.4213/mzm2488
  • https://www.mathnet.ru/eng/mzm/v77/i2/p258
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:724
    Full-text PDF :306
    References:55
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024