Another look at Cesàro sequence spaces

AbstractWe consider the Cesàro sequence space cesp as a closed subspace of the infinite ℓp-sum of finite dimensional spaces. We easily obtain many known results, for example, cesp 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 cesp(2) when 1