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arxiv: 1212.0346 · v1 · pith:SCOQ6AJEnew · submitted 2012-12-03 · 🧮 math.FA

A short proof of some recent results related to Ces{\`a}ro function spaces

classification 🧮 math.FA
keywords functionproofpropertyrecentresultsshortspacebanach-saks
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We give a short proof of the recent results that, for every $1\leq p< \infty,$ the Ces{\`a}ro function space $Ces_p(I)$ is not a dual space, has the weak Banach-Saks property and does not have the Radon-Nikodym property.

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