A note on the best approximation in spaces of affine functions
arXiv:1907.10027
Abstract
The proximinality of certain subspaces of spaces of bounded affine functions is proved. The results presented here are some linear versions of an old result due to Mazur. For the proofs we use some sandwich theorems of Fenchel's duality theory.
3 pages. Keywords: Best approximation, convex set, affine function, sandwich theorem