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arXiv:0710.0155 [math.LO]AbstractReferencesReviewsResources

How can we recover Baire class one functions?

Dominique Lecomte

Published 2007-09-30Version 1

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.

Journal: Mathematika 50 (2003) 171-198
Categories: math.LO, math.FA, math.GN
Subjects: 26A21, 54H05, 03E15, 46A20
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