[Banach] Abstract of a paper by Dominique Lecomte

[Dale Alspach]

This is an announcement for the paper "How can we recover Baire
class one functions?" by Dominique Lecomte.


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.

Archive classification: math.LO math.FA math.GN

Mathematics Subject Classification: 2000 MSC 26A21, 54H05, 03E15,
46A20

Citation: Mathematika 50 (2003) 171-198

The source file(s), 06.HcrB1f.tex: 108181 bytes, is(are) stored in
gzipped form as 0710.0155.gz with size 29kb. The corresponding
postcript file has gzipped size 132kb.

Submitted from: lecomte at moka.ccr.jussieu.fr

The paper may be downloaded from the archive by web browser from
URL

 http://front.math.ucdavis.edu/0710.0155

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 http://arXiv.org/abs/0710.0155

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 to: math at arXiv.org.