New examples of $c_0$-saturated Banach spaces

Ioannis Gasparis

New examples of $c_0$-saturated Banach spaces

Functional Analysis 2008-09-11 v1

Authors: Ioannis Gasparis

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 $K$ .

Keywords

c0-saturated Banach space polyhedral Banach space unconditional basis quotient isomorphic to ell_p subspace of C(K) space

Cite

@article{arxiv.0809.1808,
  title  = {New examples of $c_0$-saturated Banach spaces},
  author = {Ioannis Gasparis},
  journal= {arXiv preprint arXiv:0809.1808},
  year   = {2008}
}

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