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Smooth norms on certain  spaces
Author:
Petr Hájek
Journal:
Proc. Amer. Math. Soc. 131 (2003), 2049-2051
MSC (2000):
Primary 46B03, 46B10, 46B20
Posted:
February 5, 2003
MathSciNet review:
1963749
Full-text PDF Free Access
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Additional Information
Abstract:  spaces admit an equivalent  -smooth renorming whenever  .
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Deville, Problèmes de renormages, J. Funct. Anal.
68 (1986), no. 2, 117–129 (French, with English
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Robert
Deville, Gilles
Godefroy, and Václav
Zizler, Smoothness and renormings in Banach spaces, Pitman
Monographs and Surveys in Pure and Applied Mathematics, vol. 64,
Longman Scientific & Technical, Harlow, 1993. MR 1211634
(94d:46012)
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J.
Dieudonné, Foundations of modern analysis, Academic
Press, New York, 1969. Enlarged and corrected printing; Pure and Applied
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(50 #1782)
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G.
Godefroy, J.
Pelant, J.
H. M. Whitfield, and V.
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(89i:46042), http://dx.doi.org/10.1090/S0002-9939-1988-0954988-5
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Richard
Haydon, Trees in renorming theory, Proc. London Math. Soc. (3)
78 (1999), no. 3, 541–584. MR 1674838
(2000d:46011), http://dx.doi.org/10.1112/S0024611599001768
- [D]
- R. Deville, Problemes de renormages, J. Funct. Anal. 68 (1986), 117-129. MR 87m:46035
- [DGZ]
- R. Deville, G. Godefroy and V. Zizler, Smoothness and renormings in Banach spaces (1993), Longman. MR 94d:46012
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- J. Dieudonné, Foundations of Modern Analysis (1969), Acad. Press. MR 50:1782
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- G. Godefroy, J. Pelant, J. H. M. Whitfield and V. Zizler, Banach space properties of Cisielski-Pol's
 , Proc. AMS 103 (1988), 1087-1094. MR 89i:46042
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- R. Haydon, Trees in renorming theory, Proc. London Math. Soc. 78 (1999), 549-584. MR 2000d:46011
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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
DOI:
http://dx.doi.org/10.1090/S0002-9939-03-06819-9
PII:
S 0002-9939(03)06819-9
Received by editor(s):
March 20, 2001
Posted:
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
Article copyright:
© Copyright 2003 American Mathematical Society
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