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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 6, Pages 1427–1429 (Mi smj1930)  
This article is cited in 2 scientific papers (total in 2 papers)

Transformations in the space of almost convergent sequences

A. S. Usachev

Voronezh State University, Faculty of Mathematics
Full-text PDF (244 kB) Citations (2)
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Abstract: Under consideration is the space of almost convergent sequences as well as the operators acting on it. We prove that the space is invariant under the transformations of some class including, in particular, the Hardy and averaging operators.
Keywords: Banach limit, almost convergent sequence, Hardy operator.
Received: 01.03.2007
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 6, Pages 1136–1137
DOI: https://doi.org/10.1007/s11202-008-0110-0
Bibliographic databases:
UDC: 517.982.22
Language: Russian
Citation: A. S. Usachev, “Transformations in the space of almost convergent sequences”, Sibirsk. Mat. Zh., 49:6 (2008), 1427–1429; Siberian Math. J., 49:6 (2008), 1136–1137
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
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