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Matematicheskie Zametki, 1971, Volume 10, Issue 5, Pages 565–570 (Mi mzm7094)  
This article is cited in 3 scientific papers (total in 3 papers)

On conditional mathematical expectations for functions integrable in the Pettis sense

V. I. Rybakov

Tula Pedagogical Institute
Full-text PDF (375 kB) Citations (3)
Abstract: Constructed in this note is an example of a function integrable in the Pettis sense for which no conditional mathematical expectation exists relative to some sgr-subalgebra. The example constructed shows that, in particular, the assertion of Theorem 6.1 in the M. M. Rao paper (Ref. Zh. Mat.,9B, 680, 1968) is false.
Received: 01.06.1970
English version:
Mathematical Notes, 1971, Volume 10, Issue 5, Pages 764–767
DOI: https://doi.org/10.1007/BF01109041
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: V. I. Rybakov, “On conditional mathematical expectations for functions integrable in the Pettis sense”, Mat. Zametki, 10:5 (1971), 565–570; Math. Notes, 10:5 (1971), 764–767
Citation in format AMSBIB
\Bibitem{Ryb71}
\by V.~I.~Rybakov
\paper On conditional mathematical expectations for functions integrable in the Pettis sense
\jour Mat. Zametki
\yr 1971
\vol 10
\issue 5
\pages 565--570
\mathnet{http://mi.mathnet.ru/mzm7094}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=293685}
\zmath{https://zbmath.org/?q=an:0271.60005}
\transl
\jour Math. Notes
\yr 1971
\vol 10
\issue 5
\pages 764--767
\crossref{https://doi.org/10.1007/BF01109041}
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  • https://www.mathnet.ru/eng/mzm/v10/i5/p565
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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