Email this article On Subspaces of Cesàro Spaces
- Authors: Astashkin S.V.1
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Affiliations:
- Samara National Research University
- Issue: Vol 58, No 6 (2017)
- Pages: 952-958
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171542
- DOI: https://doi.org/10.1134/S0037446617060040
- ID: 171542
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Abstract
We obtain a characterization of subspaces of Lp, with 1 < p < ∞, on which the Lp-norm is equivalent to the norm of the Cesàro space Cesp. Also, we show that Cesp has a complemented copy of the Cesàro sequence space cesp.
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About the authors
S. V. Astashkin
Samara National Research University
Author for correspondence.
Email: astash56@mail.ru
Russian Federation, Samara
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