Publication at Faculty of Mathematics and Physics |
2010
Abstract
Let E be a Banach space and let B1 and A1 denote the space of all Baire-one and affine Baire-one functions on the dual unit ball, respectively. We show that there exists a separa- ble L1-predual E such that there is no quantitative relation between dist(f, B1) and dist(f,A1), where f is an affine function on BE.