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Article

Spurný, Jiří
Banach space valued mappings of the first Baire class contained in usco mappings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 48 (2007), issue 2, pp. 269-272
MSC: 26A21, 54C60, 54E45 | MR 2338094 | Zbl 1199.54125
Keywords:
Baire-one functions; usco map; usco-bounded sequence of continuous functions
Summary:
We prove that any Baire-one usco-bounded function from a metric space to a closed convex subset of a Banach space is the pointwise limit of a usco-bounded sequence of continuous functions.
References:
[1] Engelking R.: General Topology. Heldermann Verlag, Berlin, 1989. MR 1039321 | Zbl 0684.54001
[2] Kalenda O.F.K.: Baire-one mappings contained in a usco map. Comment. Math. Univ. Carolin. 48 (2007), 135-145. MR 2338835 | Zbl 1199.54121
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