Average Strong Convexity and Its Dual Property in Banach Spaces
Wang Maofa(Shayang Normal School Jingmen 448200)Zhou shaobo(Huazhong University of Science and Technology,Wuhan 430074)
We show that Banach speces sequences Xi are average strongly convex if and only if lp (Xi)is averagestrongly convex. X/M is average strongly convex if M X is approximation subspace, and X is average strongly convex. Wealso characterize finite order average strongly smooth point in l∞ (X).
【CateGory Index】： O177.2