Abstract:

By means of geometries of Banach spaces and Orlicz spaces method, the characterizations over rotundity of the Orlicz sequence spaces were discussed. For the Orlicz sequence spaces generated by an Orlicz function and equipped with p-Amemiya norm, the criteria of extreme points were presented. Based on the criteria, sufficient and necessary conditions were derived to make them  rotund.

Key words: Orlicz sequence space, pAmemiya norm, extreme point, rotundity