Convexity conditions and normal structure of Banach spaces |
| |
Authors: | Satit Saejung |
| |
Institution: | Department of Mathematics, Khon Kaen University, Khon Kaen 40002, Thailand |
| |
Abstract: | We prove that F-convexity, the property dual to P-convexity of Kottman, implies uniform normal structure. Moreover, in the presence of the WORTH property, normal structure follows from a weaker convexity condition than F-convexity. The latter result improves the known fact that every uniformly nonsquare space with the WORTH property has normal structure. |
| |
Keywords: | Normal structure F-convexity E-convexity O-convexity P-convexity WORTH property |
本文献已被 ScienceDirect 等数据库收录! |
|