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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2002, Volume 9, Number 1, Pages 48–65 (Mi jmag272)  
This article is cited in 13 scientific papers (total in 13 papers)

Some remarks on vector-valued integration

V. Kadetsa, B. Shumyatskiyb, R. Shvidkoyc, L. Tseytlind, K. Zheltukhine

a Department of Mechanics and Mathematics, V. N. Karazin Kharkov University, 4 Svobody Sq., 61077, Kharkov, Ukraine
b "Model" Company, 26 Kosmicheskaya Ul., Kharkov, 61145, Ukraine
c Department of Mathematics, University of Missouri, Columbia MO 65211
d CS Ltd, P.O.B. 10112 Kharkov, 61002, Ukraine
e Department of Mathematics, Bilkent University, Turkey
Full-text PDF (278 kB) Citations (13)
Abstract: The paper continues the study of the notion of Riemann–Lebesgue integral, which was introduced before by two of the authors. The result about the convexity of the limit set of integral sums is generalized to the case of weakly-compactly generated spaces. The notion of Riemann–Lebesgue integral is used to introduce new classes of Banach spaces. The properties of these new spaces are studied.
Received: 26.06.2001
Bibliographic databases:
Document Type: Article
MSC: 28B05, 46G10
Language: English
Citation: V. Kadets, B. Shumyatskiy, R. Shvidkoy, L. Tseytlin, K. Zheltukhin, “Some remarks on vector-valued integration”, Mat. Fiz. Anal. Geom., 9:1 (2002), 48–65
Citation in format AMSBIB
\Bibitem{KadShuShv02}
\by V.~Kadets, B.~Shumyatskiy, R.~Shvidkoy, L.~Tseytlin, K.~Zheltukhin
\paper Some remarks on vector-valued integration
\jour Mat. Fiz. Anal. Geom.
\yr 2002
\vol 9
\issue 1
\pages 48--65
\mathnet{http://mi.mathnet.ru/jmag272}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1911073}
\zmath{https://zbmath.org/?q=an:1084.28008}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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