Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Convex Analysis 21 (2014), No. 1, 189--200Copyright Heldermann Verlag 2014 Some Geometric Properties of the Cesàro Function Spaces Damian Kubiak Mathematics Department, Tennessee Technological University, 110 University Drive, Box 5054, Cookeville, TN 38505, U.S.A. dkubiak@tntech.edu [Abstract-pdf] Some geometric properties of the Ces{\`a}ro function spaces $C_{p,w}$, $1\leqslant p<\infty$, induced by an arbitrary positive weight function $w$ on an interval $(0,l)$ where $0 < l \leqslant\infty$ are studied in this paper. It is shown that all non-empty relatively weakly open sets in the unit ball of $C_{p,w}$ have diameter $2$. Also $C_{p,w}$, \$1