On Hanner type inequalities with a weight for Banach spaces

[摘要] We shall present several Harmer type inequalities with a weight constant and characterize 2-uniformly smooth and 2-uniformly convex Banach spaces with these inequalities. p-Uniformly smooth and q-uniformly convex Banach spaces will be also characterized with another Harmer type inequalities with a weight in the other side term. The best value of the weight in these inequalities will be determined for L-p spaces. Also we shall present a duality theorem between these inequalities in a generalized form. (c) 2006 Elsevier Inc. All rights reserved.

[发布日期] 2006-12-15

[关键词] Hanner's inequality;Hanner type inequality with a weight;p-uniformly smooth Banach space;q-uniformly convex Banach space;duality;best weight constant for L-p