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Inventiones mathematicae

, Volume 189, Issue 1, pp 143–148 | Cite as

A fixed point theorem for L 1 spaces

  • U. Bader
  • T. Gelander
  • N. Monod
Article

Abstract

We prove a fixed point theorem for a family of Banach spaces including notably L 1 and its non-commutative analogues. Several applications are given, e.g. the optimal solution to the “derivation problem” studied since the 1960s.

Keywords

Banach Space Point Theorem Operator Algebra Point Property Isometric Action 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 2011

Authors and Affiliations

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

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