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.
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Original Russian Text Copyright © 2008 Usachev A. S.
The author was supported by the Russian Foundation for Basic Research (Grant 05-01-00629).
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Voronezh. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 6, pp. 1427–1429, November–December, 2008.
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Usachev, A.S. Transformations in the space of almost convergent sequences. Sib Math J 49, 1136–1137 (2008). https://doi.org/10.1007/s11202-008-0110-0
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DOI: https://doi.org/10.1007/s11202-008-0110-0