# Existence of normal structure in strictly convex Banach spaces

Does there exists a strictly convex Banach space which is not uniformly convex and has normal structure ?

• You may consider accepting my answer. – Tomasz Kania Sep 7 '14 at 14:31

## 1 Answer

Yes. This is Theorem 3.1 in

L. P. Belluce, W. A. Kirk, and E. F. Steiner, Normal structure in Banach spaces. Pacific J. Math. 6, (1968), 433-440.