The uniformly convex in every direction structure and some geometrical properties of certain sequence spaces

This study, which deals with the geometrical properties of some sequence spaces, consists of four chapter. In the first chapter, a literature review of studies concerned with Banach space geometry and the aim of this study is given. In the second chapter, the principal definitions and theorems that used in other chapters are given. In the third chapter, the convexity, strictly convexity, uniformly convexity and uniformly convex in every direction structure of the sequence spaces lp(u,v), l(p,u,v) is studied and some consequences about other geometrical structures of these spaces are obtained. In the last chapter, all of the geometrical structures of lp(u,v), l(p,u,v) which are proved in the third chapter are listed.