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arXiv · 0809.1808

New examples of $c_0$-saturated Banach spaces

Ioannis Gasparis
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Abstract

For every $ 1 < p < \infty $ an isomorphically polyhedral Banach space $E_p$ is constructed having an unconditional basis and admitting a quotient isomorphic to $\ell_p$. It is also shown that $E_p$ is not isomorphic to a subspace of a $C(K)$ space for every countable and compact metric space $K$.

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Ioannis Gasparis. 2008-09-10. New examples of $c_0$-saturated Banach spaces. https://arxiv.org/abs/0809.1808

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