Abstract and Applied Analysis
Volume 2008 (2008), Article ID 135873, 5 pages
Modulus of Convexity, the Coeffcient , and Normal Structure in Banach Spaces
1Department of Mathematics, Henan Institute of Science and Technology, Xinxiang 453003, China
2Department of Mathematics, Luoyang Normal University, Luoyang 471022, China
Received 7 April 2008; Accepted 27 May 2008
Academic Editor: William A. Kirk
Copyright © 2008 Hongwei Jiao et al. 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.
Let and be the modulus of convexity and the Domínguez-Benavides coefficient, respectively. According to these two geometric parameters, we obtain a sufficient condition for normal structure, that is, a Banach space
has normal structure if
for some which generalizes the known result by
Gao and Prus.