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

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