Generic differentiability of convex functions on the dual of a Banach space

Pacific Journal of Mathematics

Volumn 172, Issue 2, 1996, Pages 413-431

  Giles, J R ^a   Kenderov, P S ^a   Moors, W B ^a   Sciffer, S D ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001034192     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.1996.172.413     Document Type: Article

References (19)

1. Jonathan Borwein, Simon Fitzpatrick and Petar Kenderov, Minimal convex uscos and monotone operators on small sets, Canad. J. Math., 43 (1991), 461-476.
2. Gustave Choquet, Lectures on Analysis, Vol. 1, W.A. Benjamin, 1969.
3. J.P.R. Christensen, Theorems of Namioka and R.E. Johnson type for upper semicontinuous and compact valued set-valued mappings, Proc. Amer. Math. Soc., 86 (1982), 649-655.
4. Joseph Diestel, Geometry of Banach Spaces-selected topics, Lecture Notes in Mathematics, No. 485, Springer-Verlag, 1975.
5. J.R. Giles and W.B. Moors, A continuity property related to Kuratowski's index of non-compactness, its relevance to the drop property and its implications for differentiability theory, J. Math. Anal. and Appl., 178 (1993), 247-268.
6. _, Differentiability properties of Banach spaces where the boundary of the closed unit ball has denting point properties, Proc. CMA (ANU), 29 (1992), 107-115.
7. P.S. Kenderov and J.R. Giles, On the structure of Banach spaces with Mazur's intersection property, Math. Ann., 291 (1991), 463-471.
8. P.S. Kenderov and J. Orihuela, On a generic factorization theorem, preprint.
9. J.L. Kelley and I. Namioka, Linear Topological spaces. Springer, New York, 1976.
10. I. Namioka, Separate continuity and joint continuity, Pacific J. Math., 51 (1974), 515-531.
11. R.R. Phelps, Convex functions, monotone operators and differentiability, Lecture Notes in Mathematics, 1364, Springer-Verlag, 1989.
12. David Preiss, R.R. Phelps and I. Namioka, Smooth Banach spaces, weak Asplund spaces and monotone or usco mappings, Israel J. Math., 72 (1990), 257-279.
13. N.K. Ribarska, Internal characterisation of fragmentable spaces, Mathematika, 34 (1987), 243-257.
14. _, The dual of a Gâteaux smooth Banach space is weak * fragmentable, Proc. Amer. Math. Soc., 114 (1992), 1003-1008.
15. C. Stegall, The Radon-Nikodym property in conjugate Banach spaces II, Trans. Amer. Math. Soc., 264 (1981), 507-509.
16. Scott Sciffer, Fragmentability of rotund Banach spaces, Proc. CMA. (ANU), 29 (1992), 222-230.
17. Michel Talagrand, Espaces de Baire et espaces de Namioka, Math. Ann., 270 (1985), 159-164.
18. S. Troyanski, On a property of the norm which is close to local uniform rotundity, Math. Ann., 271 (1985), 305-314.
19. _, On some generalisations of denting points, Israel J Math., 88 (1994), 175-188.