Antonio Avilés, Grzegorz Plebanek, José Rodríguez
Published 2011-12-24Version 1
We provide a ZFC example of a compact space K such that C(K)* is w*-separable but its closed unit ball is not w*-separable. All previous examples of such kind had been constructed under CH. We also discuss the measurability of the supremum norm on that C(K) equipped with its weak Baire sigma-algebra.
Journal: Trans. Am. Math. Soc.366 (2014), 4733-4753
On Property-$(P_{1})$ in Banach spaces
Dynamics of perturbations of the identity operator by multiples of the backward shift on $l^{\infty}(\mathbb{N})$
Biduality and density in Lipschitz function spaces
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