The range of the gradient of a lipschitz C1-Smooth bump in infinite dimensions

Israel Journal of Mathematics

Volumn 132, Issue , 2002, Pages 239-251

  Borwein, J M ^a   Fabian, M ^b   Loewen, P D ^c  

^a SIMON FRASER UNIVERSITY   (Canada)

^b MATHEMATICAL INSTITUTE   (Czech Republic)

^c UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036994625     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02784514     Document Type: Review

References (7)

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3. D. Azagra and M. Jiménez-Sevilla, On the size of the set of gradients of bump functions and starlike bodies on the Hilbert space, Bulletin de la Société Mathématique de France, to appear.
4. S. M. Bates, On smooth nonlinear surjections of Banach spaces, Israel Journal of Mathematics 100 (1997), 209-220.
5. J. M. Borwein, M. Fabian. I. Kortezov and P. D. Loewen, The range of the gradient of a continuously differentiable bump, Journal of Nonlinear and Convex Analysis 2 (2001), 1-19.
6. H. Cartan, Calcul différentiel, formes différentielles, Herman, Paris, 1967.
7. M. Jiménez-Sevilla and J. P. Moreno, A note on norm attaining functionals, Proceedings of the American Mathematical Society 126 (1998), 1989-1997.