|
|
|
|
Volume 9, Issue 4, Article 107 |
|
|
|
|
|
|
A Note on the Modulus of $U$-Convexity and Modulus of $W^*$-Convexity
|
|
|
Authors: |
Zhanfei Zuo, Yunan Cui, |
|
|
|
Keywords:
|
Modulus of U-convexity; Modulus of W*-convexity; Coefficient of weak orthogonality; Uniform normal structure; Fixed point. |
|
|
|
Date Received:
|
29/07/08 |
|
|
|
Date Accepted:
|
13/11/08 |
|
|
|
Subject Codes: |
46B20
|
|
|
|
Editors: |
Sever S. Dragomir, |
|
|
|
|
|
|
|
|
|
Abstract: |
We present some sufficient conditions for which a Banach space has normal structure in term of the modulus of -convexity, modulus of -convexity and the coefficient of weak orthogonality. Some known results are improved.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|