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Vladikavkazskii Matematicheskii Zhurnal, 2016, Volume 18, Number 1, Pages 21–25 (Mi vmj568)  
This article is cited in 9 scientific papers (total in 9 papers)

Two measure-free versions of the Brezis–Lieb lemma

E. Yu. Emelyanovab, M. A. A. Marabehb

a Sobolev Institute of Mathematics, Laboratory of Functional Analysis, 4 Koptyug Avenue, Novosibirsk, 630090, Russia
b Middle East Technical University, Department of Mathematics, Turkey, 06800, Ankara, Dumlupinar Bulvari, 1
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Abstract: We present two measure-free versions of the Brezis–Lieb lemma for $uo$-convergence in Riesz spaces.
Key words: Brezis–Lieb lemma, uniformly integrable sequence, Riesz space, $uo$-convergence, almost order bounded set, $\sigma uo$-continuous mapping.
Funding agency Grant number
Middle East Technical University BAP-01-01-2016-001
This research was funded by Middle East Technical University BAP, research project № BAP-01-01-2016-001.
Received: 11.01.2016
Document Type: Article
UDC: 517.98
MSC: 28A20, 46E30, 46B42
Language: English
Citation: E. Yu. Emelyanov, M. A. A. Marabeh, “Two measure-free versions of the Brezis–Lieb lemma”, Vladikavkaz. Mat. Zh., 18:1 (2016), 21–25
Citation in format AMSBIB
\Bibitem{EmeMar16}
\by E.~Yu.~Emelyanov, M.~A.~A.~Marabeh
\paper Two measure-free versions of the Brezis--Lieb lemma
\jour Vladikavkaz. Mat. Zh.
\yr 2016
\vol 18
\issue 1
\pages 21--25
\mathnet{http://mi.mathnet.ru/vmj568}
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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