New examples of $c_0$-saturated Banach spaces

Details New examples of $c_0$-saturated Banach spaces New examples of $c_0$-saturated Banach spaces

2008-09-10

arxiv.org/abs/0809.1808v1

Mathematics

Functional Analysis

Scientific paper

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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