Banach space valued mappings of the first Baire class contained in usco mappings

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

• Banach
• space
• valued
• mappings
• first
• Baire
• class
• contained
• mappings