Inventiones mathematicae

, Volume 189, Issue 1, pp 143–148

A fixed point theorem for L1 spaces


DOI: 10.1007/s00222-011-0363-2

Cite this article as:
Bader, U., Gelander, T. & Monod, N. Invent. math. (2012) 189: 143. doi:10.1007/s00222-011-0363-2


We prove a fixed point theorem for a family of Banach spaces including notably L1 and its non-commutative analogues. Several applications are given, e.g. the optimal solution to the “derivation problem” studied since the 1960s.

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  1. 1.TechnionHaifaIsrael
  2. 2.Hebrew UniversityJerusalemIsrael
  3. 3.EPFLLausanneSwitzerland