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Rethinking Polyhedrality for Lindenstrauss Spaces
Emanuele Casini, Enrico Miglierina, Łukasz Piasecki
A recent example by the authors (see arXiv:1503.09088 [math.FA]) shows that an old result of Zippin about the existence of an isometric copy of in a separable Lindenstrauss spa…
A remark on spaces of affine continuous functions on a simplex
Emanuele Casini, Enrico Miglierina, Łukasz Piasecki
We present an example of an infinite dimensional separable space of affine continuous functions on a Choquet simplex that does not contain a subspace linearly isometric to . Thi…
Separable Lindenstrauss spaces whose duals lack the weak fixed point property for nonexpansive mappings
Emanuele Casini, Enrico Miglierina, Łukasz Piasecki
In this paper we study the -fixed point property for nonexpansive mappings. First we show that the dual space lacks the -fixed point property whenever contains…