This is an announcement for the paper “On isomorphically polyhedral $\mathcal{L}_{\infty}$-spaces” by Jesús M. F. Castillohttp://arxiv.org/find/math/1/au:+Castillo_J/0/1/0/all/0/1, Pier Luigi Papinihttp://arxiv.org/find/math/1/au:+Papini_P/0/1/0/all/0/1.
Abstract: We show that there exist ∞-subspaces of separable isomorphically polyhedral Lindenstrauss spaces that cannot be renormed to be a Lindenstrauss space.
The paper may be downloaded from the archive by web browser from URL
http://arxiv.org/abs/1601.02035
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