1. CMB 2011 (vol 54 pp. 302)
|Structure of the Set of Norm-attaining Functionals on Strictly Convex Spaces |
Let $X$ be a separable non-reflexive Banach space. We show that there is no Borel class which contains the set of norm-attaining functionals for every strictly convex renorming of $X$.
Keywords:separable non-reflexive space, set of norm-attaining functionals, strictly convex norm, Borel class
Categories:46B20, 54H05, 46B10