R Haydon, A Molto, J Orihuela
Published 2006-12-12Version 1
Let $\Gamma$ be a Polish space and let $K$ be a separable and pointwise compact set of real-valued functions on $\Gamma$. It is shown that if each function in $K$ has only countably many discontinuities then $C(K)$ may be equipped with a $T_p$-lower semicontinuous and locally uniformly convex norm, equivalent to the supremum norm.
Dynamics of perturbations of the identity operator by multiples of the backward shift on $l^{\infty}(\mathbb{N})$
On embeddings of $C_0(K)$ spaces into $C_0(L,X)$ spaces
A weak* separable C(K)* space whose unit ball is not weak* separable
![QR code for arXiv:math/0612307 [math.FA]](http://oss.arxitics.com/images/favicon.svg)