Abstract and Applied Analysis
Volume 2010 (2010), Article ID 102462, 14 pages
doi:10.1155/2010/102462
Research Article

On P- and p-Convexity of Banach Spaces

Omar Muñiz-Pérez

Department of Mathematics, Center for Mathematical Reserch, A.C., Apdo. Postal 402, 36000 Guanajuato, GTO, Mexico

Received 25 June 2010; Accepted 18 August 2010

Academic Editor: Stevo Stevic

Copyright © 2010 Omar Muñiz-Pérez. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We show that every U-space and every Banach space X satisfying δX(1)>0 are P(3)-convex, and we study the nonuniform version of P-convexity, which we call p-convexity.