Renorming of $C(K)$ spaces
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Abstract:
If $K$ is a scattered Eberlein compact space, then $C(K)^{*}$ admits an equivalent dual norm that is uniformly rotund in every direction. The same is shown for the dual to the Johnson-Lindenstrauss space $\text {JL}_{2}$.References
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Additional Information
- Jan Rychtář
- Affiliation: Department of Mathematical Analysis, Charles University, Faculty of Mathematics and Physics, Sokolovká 83, 186 75 Praha 8, Czech Republic
- Address at time of publication: Department of Mathematics and Statistics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1
- Email: rychtar@karlin.mff.cuni.cz, jrychtar@math.ualberta.ca
- Received by editor(s): July 15, 2001
- Published electronically: February 5, 2003
- Additional Notes: Supported in part by GAČR 201/01/1198, A 1019003, NSERC 7926 and GAUK 277/2001. This paper is based on part of the author’s Ph.D. thesis written under the supervision of Professor V. Zizler
- Communicated by: Jonathan M. Borwein
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2063-2070
- MSC (2000): Primary 46B03, 46E10
- DOI: https://doi.org/10.1090/S0002-9939-03-07001-1
- MathSciNet review: 1963751