Israel Journal of Mathematics

, Volume 100, Issue 1, pp 209–220

On smooth, nonlinear surjections of banach spaces


DOI: 10.1007/BF02773641

Cite this article as:
Bates, S.M. Isr. J. Math. (1997) 100: 209. doi:10.1007/BF02773641


It is shown that (1) every infinite-dimensional Banach space admits aC1 Lipschitz map onto any separable Banach space, and (2) if the dual of a separable Banach spaceX contains a normalized, weakly null Banach-Saks sequence, thenX admits aC map onto any separable Banach space. Subsequently, we generalize these results to mappings onto larger target spaces.

Copyright information

© Hebrew University 1997

Authors and Affiliations

  1. 1.Department of MathematicsColumbia UniversityNew YorkUSA