Bump functions and differentiability in Banach spaces
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- by D. J. Ives PDF
- Proc. Amer. Math. Soc. 129 (2001), 3583-3588 Request permission
Abstract:
We show that if a Banach space $E$ admits a continuous symmetrically Fréchet subdifferentiable bump function, then $E$ is an Asplund space.References
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Additional Information
- D. J. Ives
- Affiliation: Department of Mathematics, University College London, Gower Street, London WC1E 6BT, United Kingdom
- MR Author ID: 661237
- Email: dean@dps0.math.ucl.ac.uk
- Received by editor(s): April 14, 2000
- Published electronically: April 24, 2001
- Communicated by: Jonathan M. Borwein
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3583-3588
- MSC (2000): Primary 46G05; Secondary 46T20
- DOI: https://doi.org/10.1090/S0002-9939-01-06086-5
- MathSciNet review: 1860490