A weak* separable C(K)* space whose unit ball is not weak* separable

Details A weak* separable C(K)* space whose unit ball is not weak* separable A weak* separable C(K)* space whose unit ball is not weak* separable

2011-12-24

arxiv.org/abs/1112.5710v1

Mathematics

Functional Analysis

Scientific paper

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.

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