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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 6, Pages 1348–1355 (Mi smj2054)  
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
Full-text PDF (284 kB) Citations (2)
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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
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 6, Pages 1062–1069
DOI: https://doi.org/10.1007/s11202-009-0117-1
Bibliographic databases:
UDC: 517.521
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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