Another look at Cesàro sequence spaces

We consider the Cesàro sequence space ces p as a closed subspace of the infinite ℓ p -sum of finite dimensional spaces. We easily obtain many known results, for example, ces p has property (β) of Rolewicz, uniform Opial property, and weak uniform normal structure. We also consider some generalized Cesàro sequence spaces. Finally, we compute the von Neumann–Jordan and James constants of the two-dimensional Cesàro sequence space ces p ( 2 ) when 1 < p ⩽ 2 .