Spaces of functions with countably many discontinuities
R Haydon, A Molto, J Orihuela
Abstract
Let Γ be a Polish space and let K be a separable and pointwise compact set of real-valued functions on Γ. It is shown that if each function in K has only countably many discontinuities then C(K) may be equipped with a Tp-lower semicontinuous and locally uniformly convex norm, equivalent to the supremum norm.
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