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Reflexivity and sets of Fréchet subdifferentiability
Authors:Ondrej Kurka
Institution:Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 00 Prague 8, Czech Republic
Abstract:We show that the sets of Fréchet subdifferentiability of Lipschitz functions on a Banach space $ X $ are Borel if and only if $ X $ is reflexive. This answers a question of L. Zajíček.

Keywords:Reflexivity  set of Fr\'echet subdifferentiability  Borel set  Suslin set
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