A remark on spaces of affine continuous functions on a simplex
Functional Analysis
2015-04-01 v1
Abstract
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 . This example disproves a result stated in M. Zippin. On some subspaces of Banach spaces whose duals are spaces. Proc. Amer. Math. Soc. 23, (1969), 378-385.
Cite
@article{arxiv.1503.09088,
title = {A remark on spaces of affine continuous functions on a simplex},
author = {Emanuele Casini and Enrico Miglierina and Łukasz Piasecki},
journal= {arXiv preprint arXiv:1503.09088},
year = {2015}
}