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Contemporary Mathematics. Fundamental Directions, 2010, Volume 37, Pages 55–69 (Mi cmfd165)  
This article is cited in 9 scientific papers (total in 9 papers)

The limiting form of the Radon–Nikodym property is true for all Fréchet spaces

I. V. Orlov, F. S. Stonyakin

Vernadskiy Tavricheskiy National University, Simferopol', Ukraine
Full-text PDF (226 kB) Citations (9)
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Abstract: In this paper, we propose a new limiting form of the Radon–Nikodym property for the Bochner integral. We prove that the limiting form holds for an arbitrary Fréchet space as opposed to an ordinary Radon–Nikodym property. We consider some applications in linear and nonlinear analysis.
English version:
Journal of Mathematical Sciences, 2012, Volume 180, Issue 6, Pages 731–747
DOI: https://doi.org/10.1007/s10958-012-0668-8
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: I. V. Orlov, F. S. Stonyakin, “The limiting form of the Radon–Nikodym property is true for all Fréchet spaces”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 37, PFUR, M., 2010, 55–69; Journal of Mathematical Sciences, 180:6 (2012), 731–747
Citation in format AMSBIB
\Bibitem{OrlSto10}
\by I.~V.~Orlov, F.~S.~Stonyakin
\paper The limiting form of the Radon--Nikodym property is true for all Fr\'echet spaces
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2010
\vol 37
\pages 55--69
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd165}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2789325}
\transl
\jour Journal of Mathematical Sciences
\yr 2012
\vol 180
\issue 6
\pages 731--747
\crossref{https://doi.org/10.1007/s10958-012-0668-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84856556851}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
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