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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 6, Pages 1348–1355
(Mi smj2054)
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This article is cited in 2 scientific papers (total in 2 papers)
The integral analog of a series with a two-point sum range
O. S. Osipov Tomsk State University, Tomsk
Abstract:
We consider an improper integral corresponding to the series with a two-point sum range which was constructed by Kornilov in the space of integrable functions. We verify that the sum range of the integral is equal to the set of all constant functions.
Keywords:
rearrangement of a series, rearrangement of an integral, Lebesgue–Bochner integral, sum range of a series, sum range of an improper integral.
Received: 03.04.2008 Revised: 16.09.2009
Citation:
O. S. Osipov, “The integral analog of a series with a two-point sum range”, Sibirsk. Mat. Zh., 50:6 (2009), 1348–1355; Siberian Math. J., 50:6 (2009), 1062–1069
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https://www.mathnet.ru/eng/smj2054 https://www.mathnet.ru/eng/smj/v50/i6/p1348
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Abstract page: | 215 | Full-text PDF : | 54 | References: | 55 |
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