Extreme Points in Musielak-Orlicz Sequence Spaces

S. Saejung and S. Dhompongsa

Abstract

        This paper establishes some characterizations of extreme points and strongly extreme points of the closed unit ball in a Musielak-Orlicz sequence space equipped with the Luxemburg norm. As a consequence of these results, we obtain some geometric properties such as rotundity and strong rotundity in Nakano sequence spaces and Orlicz sequence spaces.