A fixed point theorem for L1 spaces

By U. Bader, Tsachik Gelander, Nicolas Monod. Inventiones Mathematicae, 2010

72 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/76a3c20c3badf0fc9b65d6329abbd247058848b6

How researchers see this paper

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In Applied Mathematics

1. Yong Zhang
2. Anthony To-Ming Lau

In Geometry and Topology

1. Yong Zhang
2. Anthony To-Ming Lau

Citations in the corpus

• Fixed point properties for semigroups of nonlinear mappings and amenability (2012, methodology): “14 is related to Theorem A in the recent paper [2] of Bader, Gelander and Monod, which was used to give a short proof to the long standing derivation problem, that is, every continuous derivation on the group algebra L1(G) is inner for any locally compact group G.”