On Subspaces of Cesàro Spaces


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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.

About the authors

S. V. Astashkin

Samara National Research University

Author for correspondence.
Email: astash56@mail.ru
Russian Federation, Samara

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