Geometry of Cesaro function spaces

Geometric properties of Cesàro function spaces Ces p (I), where I = [0,∞) or I = [0, 1], are investigated. In both cases, a description of their dual spaces for 1 < p < ∞ 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 Ces p [0, 1] (1 ⩽ p < ∞).Validerad; 2011; 20110408 (andbra);Translated from Funktsional′nyi Analiz i Ego Prilozheniya, Vol. 45, No. 1, pp. 79–83, 2011