Renorming James tree space
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- by Petr Hájek and Jan Rychtář
- Trans. Amer. Math. Soc. 357 (2005), 3775-3788
- DOI: https://doi.org/10.1090/S0002-9947-05-03691-3
- Published electronically: March 31, 2005
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Abstract:
We show that the James tree space $JT$ can be renormed to be Lipschitz separated. This negatively answers the question of J. Borwein, J. Giles and J. Vanderwerff as to whether every Lipschitz separated Banach space is an Asplund space.References
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Bibliographic Information
- Petr Hájek
- Affiliation: Mathematical Institute, AV ČR, Žitná 25, 115 67 Praha 1, Czech Republic
- Email: hajek@math.cas.cz
- Jan Rychtář
- Affiliation: Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
- Address at time of publication: Department of Mathematical Sciences, University of North Carolina, Greensboro, North Carolina 27402
- Email: jrychtar@math.ualberta.ca
- Received by editor(s): October 3, 2003
- Received by editor(s) in revised form: March 25, 2004
- Published electronically: March 31, 2005
- Additional Notes: The first author was supported by GAČR 201/01/1198 and A 101 92 05. The second author was supported by GAČR 201/04/0090, GAUK 277/2001 and NSERC 7926.
- © Copyright 2005
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 357 (2005), 3775-3788
- MSC (2000): Primary 46B03
- DOI: https://doi.org/10.1090/S0002-9947-05-03691-3
- MathSciNet review: 2146649