Preiss David
RNDr., CSc.
Born January 21, 1947
- Honorary member of Learned Society since 2003
Educational and professional preparation:
- 1965-1970, Faculty of Mathematics and Physics, Charles University (FMP, CU), Prague;
- 1970, RNDr, Prague;
- 1979, CSc., Prague
Employment and academic positions:
- 1970-1990, FMP, CU;
- 1990-present, University College, London
Membership and positions in international organizations and societies:
- Editorial Boards: Proceedings of the American Mathematical Society; Real Analysis Exchange; Commentationes Mathematicae Universitatis Carolinae; Mathematika.
- Former member, Council of London Mathematical Society
Selected publications:
- A smooth variational principle with applications to sub-differentiability and to differentiability of convex functions (with J. M. Borwein). Trans. Amer. Math. Soc., 303 (1987), 517-528
- Geometry of measures in Rn : Distribution, rectifiability, and densities. Ann. of Math., 125 (1987), 537-643
- A general mountain pass principle for locating and classifying critical points (with N. Ghoussoub). Analyse non linéaire, 6 (1989), 321-330
- Smooth Banach spaces, weak Asplund spaces and monotone or usco mappings (with I. Namioka and R. R. Phelps). Israel J. Math., 72 (1990), 257-279
- Differentiability of Lipschitz functions on Banach spaces. J. Functional Anal., 91 (1990), 312-345
- Measures on Banach spaces are determined by their values on balls (with J. Tišer).
Mathematika, 38 (1991), 391-397 - Tangent measure distributions of fractal measures (with P. Mörters). Math. Ann., 312 (1998), 53-99
- Directional derivatives of Lipschitz functions (with L. Zajíček). Israel J. Math., 125 (2001), 1-27
- Lipschitz quotients from metric trees and from Banach spaces containing l1 (with W. B. Johnson, J. Lindenstrauss and G. Schechtman). J. Functional Anal., 194 (2002), 332-346
- On Fréchet differentiability of Lipschitz maps between Banach spaces (with J. Lindenstrauss). Ann. of Math., 157 (2003), No.1, 257-288
EN