Functions of the first Baire class with values in Banach spaces
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- by Charles Stegall
- Proc. Amer. Math. Soc. 111 (1991), 981-991
- DOI: https://doi.org/10.1090/S0002-9939-1991-1019283-7
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Abstract:
We characterize functions of the first Baire class with values in Banach spaces and give a short self-contained proof of a result more general than the following: If $T$ is a complete metric space, $X$ is a Banach space, and $\Phi :T \to \wp (X)$ (the power set of $X$) is a mapping that is use in the weak topology then $\Phi$ has a selector of the first Baire class. This extends some results of Hansell, Jayne, Rogers, and Talagrand.References
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Bibliographic Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 111 (1991), 981-991
- MSC: Primary 26A21; Secondary 47H04
- DOI: https://doi.org/10.1090/S0002-9939-1991-1019283-7
- MathSciNet review: 1019283