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How can we recover Baire class one functions?
Published online by Cambridge University Press: 26 February 2010
Abstract
Let X and Y be separable metrizable spaces, and f: X→Y a function. It is wished to recover f from its values on a small set via a simple algorithm. It is shown that this is possible if f is Baire class one, and in fact a characterization is obtained. This leads 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.
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- Research Article
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- Copyright © University College London 2003
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