Smooth norms on certain $C(K)$ spaces
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- by Petr Hájek PDF
- Proc. Amer. Math. Soc. 131 (2003), 2049-2051 Request permission
Abstract:
$C(K)$ spaces admit an equivalent $C^\infty$-smooth renorming whenever $K^{(\omega _1)}=\emptyset$.References
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Additional Information
- Petr Hájek
- Affiliation: Mathematical Institute, Czech Academy of Science, Žitná 25, Praha, 11567, Czech Republic
- Email: hajek@math.cas.cz
- Received by editor(s): March 20, 2001
- Published electronically: February 5, 2003
- Additional Notes: The author was supported by grants AV 1019003, A1 019 205 and GAČR 201/01/11098
- Communicated by: Jonathan M. Borwein
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2049-2051
- MSC (2000): Primary 46B03, 46B10, 46B20
- DOI: https://doi.org/10.1090/S0002-9939-03-06819-9
- MathSciNet review: 1963749