A fixed point theorem for L^1 spaces
Functional Analysis
2012-07-10 v2 Group Theory
Operator Algebras
Abstract
We prove a fixed point theorem for a family of Banach spaces, 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.
Cite
@article{arxiv.1012.1488,
title = {A fixed point theorem for L^1 spaces},
author = {Uri Bader and Tsachik Gelander and Nicolas Monod},
journal= {arXiv preprint arXiv:1012.1488},
year = {2012}
}
Comments
minor additions; to appear in Inv. Math