Ji\v {r}\'{\i } Spurn\'y

Ji\v {r}\'{\i } Spurn\'y
Banach space valued mappings of the first Baire class contained in usco mappings

Comment.Math.Univ.Carolin. 48,2 (2007) 269-272.

Abstract: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.

Keywords: Baire-one functions, usco map, usco-bounded sequence of continuous functions
AMS Subject Classification: 54C60, 54E45, 26A21

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Ji\v {r}\'{\i } Spurn\'y Banach space valued mappings of the first Baire class contained in usco mappings

Ji\v {r}\'{\i } Spurn\'y
Banach space valued mappings of the first Baire class contained in usco mappings