Abstract
We obtain a characterization of subspaces of L p , with 1 < p < ∞, on which the L p -norm is equivalent to the norm of the Cesàro space Ces p . Also, we show that Ces p has a complemented copy of the Cesàro sequence space ces p .
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The author was supported by the Ministry of Education and Science in the framework of a State Task (Grant 1.470.2016/1.4) and partially supported by the Russian Foundation for Basic Research (Grant 17–01–00138).
Samara. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 6, pp. 1228–1235, November–December, 2017
Original Russian Text Copyright © 2017 Astashkin S.V.
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Astashkin, S.V. On Subspaces of Cesàro Spaces. Sib Math J 58, 952–958 (2017). https://doi.org/10.1134/S0037446617060040
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DOI: https://doi.org/10.1134/S0037446617060040