[Banach] Abstract of a paper by R Haydon, A Molto and J Orihuela
alspach at www.math.okstate.edu
Wed Dec 13 12:22:40 CST 2006
This is an announcement for the paper "Spaces of functions with
countably many discontinuities" by R Haydon, A Molto and J Orihuela.
Abstract: Let $\Gamma$ be a Polish space and let $K$ be a separable
and poointwise 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
Archive classification: Functional Analysis; General Topology
Mathematics Subject Classification: 46B03; 54H05
The source file(s), fewdiscfinal.tex: 56379 bytes, is(are) stored
in gzipped form as 0612307.gz with size 18kb. The corresponding
postcript file has gzipped size 144kb.
Submitted from: richard.haydon at bnc.ox.ac.uk
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