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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2010, Number 3(11), Pages 29–37 (Mi vtgu140)  
MATHEMATICS

Integral analogs of series in Banach spaces

E. G. Lazarevaa, O. S. Osipovb

a Tomsk State University, Faculty of Mechanics and Mathematics
b Solveig Multimedia Ltd.
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Abstract: Integral analogs of conditionally convergent series in Banach spaces are investigated. The values range of an integral analog of a series is shown to be an affine subspace. It can be found by the way described in the Steinitz theorem about the sum range of series in finite-dimension spaces.
Keywords: integral analog of a series, rearrangement of a series, sum range of a series, values range of an integral.

Accepted: May 22, 2010
Bibliographic databases:
Document Type: Article
UDC: 517.521
Language: Russian
Citation: E. G. Lazareva, O. S. Osipov, “Integral analogs of series in Banach spaces”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2010, no. 3(11), 29–37
Citation in format AMSBIB
\Bibitem{LazOsi10}
\by E.~G.~Lazareva, O.~S.~Osipov
\paper Integral analogs of series in Banach spaces
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2010
\issue 3(11)
\pages 29--37
\mathnet{http://mi.mathnet.ru/vtgu140}
\elib{https://elibrary.ru/item.asp?id=15646038}
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    		Вестник Томского государственного университета. Математика и механика
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