Caracterización de espacios de Banach mediante desigualdades y el mapeo de dualidad

Using a result of C. E. Chidume, we present a shorter and improved proof of aresult of Xu and Roach on characterization of uniformly convex and uniformly smoothBanach spaces by the duality map and inequalities involving strictly increasing andstrictly decreasing functions.Keywords: Banach spaces, du...

Full description

Main Author: Ugalde G., William J.
Format: Artículo
Language: Español
Published: 2015
Online Access: http://revistas.ucr.ac.cr/index.php/matematica/article/view/281
http://hdl.handle.net/10669/12930
Summary: Using a result of C. E. Chidume, we present a shorter and improved proof of aresult of Xu and Roach on characterization of uniformly convex and uniformly smoothBanach spaces by the duality map and inequalities involving strictly increasing andstrictly decreasing functions.Keywords: Banach spaces, duality maps, uniformly convex spaces, uniformly smoothspaces, modulus of convexity, modulus of smoothness.