Geometry of Cesàro Function Spaces

Geometric properties of Cesàro function spaces $\operatorname{Ces}_{p}(I)$, where $I=[0,\infty)$ or $I=[0,1]$, are investigated. In both cases, a description of their dual spaces for $1<p<\infty$ is given. We find the type and the cotype of Cesàro spaces and present a complete characterization of the spaces $l^q$ that have isomorphic copies in $\operatorname{Ces}_{p}[0,1]$ ($1\le p<\infty$).