Publikace na Matematicko-fyzikální fakulta |
2016
Abstrakt
Let phi: X -> Y be an affine continuous surjection between compact convex sets. Suppose that the canonical copy of the space of real -valued Aline continuous functions on Y in the space of reat-valued affine continuous functions on X is complemented.
We show that if F is a topological vector space, then f : Y -> F is of affine Baire class a whenever the composition f o y is of affine Baire class a. This abstract result is applied to extend known results on affine Baire classes of strongly affine Baire mappings.