Uniformly differentiable bump functions

Archiv der Mathematik

Volumn 68, Issue 1, 1997, Pages 55-59

  Tang, Wee Kee ^a  

^a TEMASEK POLYTECHNIC   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031541356     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00000394     Document Type: Article

References (6)

1. R. DEVILLLE, G. GODEFROY and V. ZIZLER, Smoothness and Renormings in Banach Spaces. Pitman Monographs Survey Pure Appl. Math. 64, New York 1993.
2. M. FABIAN, Lipschitz-smooth points of convex functions and isomorphic characterizations of Hilbert spaces. Proc. London. Math. Soc. 51, 113-126 (1985).
3. M. FABIAN, J. H. M. WHITFIELD and V. ZIZLER, Norms with locally Lipschitzian derivatives. Israel J. Math. 44, 262-276 (1983).
4. D. MCLAUGHLIN, R. A. POLIQUIN, J. D. VANDERWERFF and V. E. ZIZLER, Second Order Gâteaux Differentiable Bump Functions and Approximations in Banach Spaces. Canad. J. Math. 45, 612-625 (1993).
5. D. MCLAUGHLIN and J. VANDERWERFF, High Order Gâteaux Smooth Bump Functions on Banach Spaces. Bull. Austral. Math. Soc. 51, 291-300 (1995).
6. R. R. PHELPS, Convex Functions, Monotone Operators and Differentiability. LNM 1364, Berlin-Heidelberg-New York 1993.