Reflexivity and sets of Fréchet subdifferentiability
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- by Ondřej Kurka PDF
- Proc. Amer. Math. Soc. 136 (2008), 4467-4473 Request permission
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.References
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Additional Information
- Ondřej Kurka
- Affiliation: Department of Mathematical Analysis, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, 186 00 Prague 8, Czech Republic
- Email: ondrej.kurka@mff.cuni.cz
- Received by editor(s): April 5, 2007
- Received by editor(s) in revised form: November 1, 2007
- Published electronically: June 17, 2008
- Communicated by: N. Tomczak-Jaegermann
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 4467-4473
- MSC (2000): Primary 54H05, 46B10, 46G05
- DOI: https://doi.org/10.1090/S0002-9939-08-09425-2
- MathSciNet review: 2431064