How can we recover Baire class one functions?
Logic
2007-10-02 v1 Functional Analysis
General Topology
Abstract
Let X and Y be separable metrizable spaces, and f:X-->Y be a function. We want to recover f from its values on a small set via a simple algorithm. We show that this is possible if f is Baire class one, and in fact we get a characterization. This leads us to the study of sets of Baire class one functions and to a characterization of the separability of the dual space of an arbitrary Banach space.
Cite
@article{arxiv.0710.0155,
title = {How can we recover Baire class one functions?},
author = {Dominique Lecomte},
journal= {arXiv preprint arXiv:0710.0155},
year = {2007}
}