Some remarks on universality properties of $\ell_\infty / c_0$
Functional Analysis
2018-12-12 v1
Abstract
We prove that if continuum is not a Kunen cardinal, then there is a uniform Eberlein compact space such that the Banach space does not embed isometrically into . We prove a similar result for isomorphic embeddings. We also construct a consistent example of a uniform Eberlein compactum whose space of continuous functions embeds isomorphically into , but fails to embed isometrically. As far as we know it is the first example of this kind.
Keywords
Cite
@article{arxiv.1207.3722,
title = {Some remarks on universality properties of $\ell_\infty / c_0$},
author = {Mikolaj Krupski and Witold Marciszewski},
journal= {arXiv preprint arXiv:1207.3722},
year = {2018}
}