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- W2951854531 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 $lim_{tto 0}M(Kt)/M(t) = infty$ for some $K < infty$. We also construct an Orlicz sequence space $h_M$ which is $c_0$-saturated, but which is not isomorphic to any polyhedral Banach space. This shows that being $c_0$-saturated and having a separable dual are not sufficient for a Banach space to be isomorphic to a polyhedral Banach space." @default.
- W2951854531 created "2019-06-27" @default.
- W2951854531 creator A5062466748 @default.
- W2951854531 date "1993-04-01" @default.
- W2951854531 modified "2023-09-27" @default.
- W2951854531 title "Some isomorphically polyhedral Orlicz sequence spaces" @default.
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