Some isomorphically polyhedral orlicz sequence spaces

@article{Leung1993SomeIP,
  title={Some isomorphically polyhedral orlicz sequence spaces},
  author={Denny Leung},
  journal={Israel Journal of Mathematics},
  year={1993},
  volume={87},
  pages={117-128}
}
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 isc0-saturated, i.e., each closed infinite dimensional subspace contains an isomorph ofc0. In this paper, we show that the Orlicz sequence spacehM is isomorphic to a polyhedral Banach space if limt→0M(Kt)/M(t)=∞ for someK<∞. We also construct an Orlicz sequence spacehM which isc0-saturated, but which is not isomorphic to… CONTINUE READING

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