Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm

Abstract

The problem of packing spheres in Orlicz sequence space $l_{\mathrm{\Phi },p}$ equipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity of $l_{\mathrm{\Phi },p}$ is obtained, which contains the relevant work about $l^p\hspace{0.17em}\hspace{0.17em}(p>1)$ and classical Orlicz spaces $l_{\mathrm{\Phi }}$ discussed by Rankin, Burlak, and Cleaver. Moreover the packing constant as well as Kottman constant in this kind of spaces is calculated.