On uniformly Gâteaux smooth norms and normal structure
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- by Michal Johanis and Jan Rychtář PDF
- Proc. Amer. Math. Soc. 135 (2007), 1511-1514 Request permission
Abstract:
It is shown that every separable Banach space admits an equivalent norm that is uniformly Gâteaux smooth and yet lacks asymptotic normal structure.References
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Additional Information
- Michal Johanis
- Affiliation: Department of Mathematical Analysis, Charles University, Sokolovská 83, 186 75 Praha 8, Czech Republic
- MR Author ID: 718323
- Email: johanis@karlin.mff.cuni.cz
- Jan Rychtář
- Affiliation: Department of Mathematical Sciences, University of North Carolina at Greensboro, Greensboro, North Carolina 27402
- Email: rychtar@uncg.edu
- Received by editor(s): January 9, 2006
- Published electronically: November 29, 2006
- Additional Notes: The first author was supported by the research project MSM 0021620839 and by grant GAČR 201/05/P582
The second author was supported by the UNCG New Faculty Summer Excellence Grant 2005. - Communicated by: Jonathan M. Borwein
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 1511-1514
- MSC (2000): Primary 46B20
- DOI: https://doi.org/10.1090/S0002-9939-06-08819-8
- MathSciNet review: 2276661