Carathéodory convex selections of set-valued functions in Banach lattices
Let \(T\) be measurable space \(X\) a Banach space while \(Y\) a Banach lattice. We consider the class of ``upper separated'' set-valued functions \(F:T \times X \to 2^Y\) and investigate the problem of the existence of Carathéodory type selection, that is, measurable in the first variable and order-convex in the second variable.
scientific article; zbMATH DE number 6700738