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A short proof of some recent results related to Cesàro function spaces

Authors:	Sergey V. Astashkin Lech Maligranda

Affiliation:	1. Department of Mathematics and Mechanics, Samara State University, Acad. Pavlova 1, 443011 Samara, Russia;2. Department of Engineering Sciences and Mathematics, Luleå University of Technology, SE-971 87 Luleå, Sweden

Abstract:	We give a short proof of the recent results that, for every 1≤p<∞ $1 \leq p < \infty$ , the Cesàro function space Ce_s_p(I) $C e s_{p} (I)$ is not a dual space, has the weak Banach–Saks property and does not have the Radon–Nikodym property.

Keywords:	Cesà ro function spaces Weak Banach&ndash Saks property Bochner function spaces Subspaces Dual Banach space Radon&ndash Nikodym property
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