Some isomorphically polyhedral orlicz sequence spaces

Abstract

A Banach space is polyhedral if the unit ball of each of its finite dimensional subspaces is a polyhedron. It is known that a polyhedral Banach space has a separable dual and is c 0-saturated, i.e., each closed infinite dimensional subspace contains an isomorph of c 0. In this paper, we show that the Orlicz sequence space h M is isomorphic to a polyhedral Banach space if lim t→0 M(Kt)/M(t)=∞ for some K