This is an announcement for the paper "A short proof of some recent results related to Ces{`a}ro function spaces" by Sergey V. Astashkin and Lech Maligranda.

Abstract: 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.

Archive classification: math.FA

Mathematics Subject Classification: 46E30, 46B20, 46B42

Remarks: 4 pages

Submitted from: lech.maligranda@ltu.se

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1212.0346

or

http://arXiv.org/abs/1212.0346