On a class of Köthe sequence spaces with normal structure

In this note, we investigate the generalized modulus of convexity δ(λ) and the generalized modulus smoothness ρ(λ). We obtain some estimates of these moduli for X = lp. We obtain inequalities between WCS coefficient of a Köthe sequence space X and . We show that, for a wide class of Köthe sequence spaces X, if for some , then X has normal structure.