Mathematische Zeitschrift

, Volume 278, Issue 3–4, pp 649–661 | Cite as

Fixed point theorem for reflexive Banach spaces and uniformly convex non positively curved metric spaces

  • Izhar Oppenheim


This article generalizes the work of Ballmann and Światkowski to the case of Reflexive Banach spaces and uniformly convex Busemann spaces, thus giving a new fixed point criterion for groups acting on simplicial complexes.


Fixed point theorem Busemann space Reflexive Banach space Property (T) 

Mathematics Subject Classification (2010)




I would like to thank Uri Bader for many discussions about property (T) and fixed point properties and for communicating the work of Nowak which motivated this article.


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© Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.Department of MathematicsOhio State UniversityColumbusUSA

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