An almost nowhere Fréchet smooth norm on superreflexive spaces

Studia Mathematica

Volumn 133, Issue 1, 1999, Pages 93-99

  Matoušková, Eva ^a,b  

^a MATHEMATICAL INSTITUTE   (Czech Republic)

^b JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

Author keywords

Aronszajn null; Banach space; Convex; Differentiable

Indexed keywords

EID: 0002516677     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: 10.4064/sm-133-1-93-99     Document Type: Article

References (11)

1. N. Aronszajn, Differentiability of Lipschitzian mappings between Banach spaces, Studia Math. 57 (1976), 147-190.
2. Y. Benyamini and J. Lindenstrauss, Geometric non-linear functional analysis, to appear.
3. M. Csörnyei, Aronszajn null and Gaussian null sets coincide, to appear.
4. J. Diestel, Geometry of Banach Spaces, Springer, Berlin, 1975.
5. P. L. Konyagin, On points of existence and nonuniqueness of elements of best approximation, in: Theory of Functions and its Applications, P. L. Ul'yanov (ed.), Izdat. Moskov. Univ., 1986, 38-43 (in Russian).
6. P. Mankiewicz, On the differentiability of Lipschitz mappings in Fréchet spaces, Studia Math. 45 (1973), 15-29.
7. J. Matoušek and E. Matoušková, A highly non-smooth norm on Hilbert space, Israel J. Math., to appear.
8. E. Matouškov́, Convexity and Haar null sets, Proc. Amer. Math. Soc. 125 (1997), 1793-1799.
9. _, The Banach-Saks property and Haar null sets, Comment. Math. Univ. Carolin. 39 (1998), 71-80.
10. D. Preiss and J. Tišer, Two unexpected examples concerning differentiability of Lipschitz functions on Banach spaces, in: Geometric Aspects of Functional Analysis, Israel Seminar (GAFA), J. Lindenstrauss and V. Milman (eds.), Birkhäuser, 1995, 219-238.
11. D. Preiss and L. Zajíček, Stronger estimates of smallness of sets of Fréchet nondifferentiability of convex functions, Suppl. Rend. Circ. Mat. Palermo (2) 3 (1984), 219-223.