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Explicit models of -preduals and the weak fixed point property in
Emanuele Casini, Enrico Miglierina, Łukasz Piasecki
We provide a concrete isometric description of all the preduals of for which the standard basis in has a finite number of -limit points. Then, we apply this…
Weak fixed point property and the space of affine functions
Emanuele Casini, Enrico Miglierina, Łukasz Piasecki
First we prove that if a separable Banach space contains an isometric copy of an infinite-dimensional space of affine continuous functions on a Choquet simplex , then…
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…