On uniformly Gâteaux smooth C(n)-smooth norms on separable Banach spaces

Czechoslovak Mathematical Journal

Volumn 49, Issue 3, 1999, Pages 657-672

  Fabian, Marián ^a   Zizler, Václav ^a  

^a MATHEMATICAL INSTITUTE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034363481     PISSN: 00114642     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022487822852     Document Type: Article

References (7)

1. [BF] J.M. Borwein, M. Fabian: On convex functions having points of Gâteaux differentiability which are not points of Fréchet differentiability. Canadian J. Math. 45 (1993), 1121-1134.
2. [C] H. Cartan: Calcul différentiel formes différentielles. Herman, Paris 1967.
3. [DGZ] R. Deville, G. Godefroy, V. Zizler: Smoothness and renormings in Banach spaces. Pitman Monographs, No. 64, Longman House, Harlow, 1993.
4. [FWZ] M. Fabian, J.H.M. Whitfield, V. Zizler: Norms with locally Lipschitzian derivatives. Israel J. Math. 44 (1983), 262-276.
5. [MV] D.P. McLaughlin, J.D. Vanderwerff: Higher oreder Gâteaux smooth bump functions on Banach spaces. Bull. Australian Math. Soc. 51 (1995), 291-300.
6. [P] R.R. Phelps: Convex functions, monotone operators and differentiability. Lecture Notes in Math. No. 1364, Springer Verlag, 1993.
7. [T] W.K. Tang: Uniformly differentiate bump functions. Preprint.