A fixed point theorem for L 1 spaces

U. Bader; T. Gelander; N. Monod

doi:10.1007/s00222-011-0363-2

A fixed point theorem for L ¹ spaces

U. Bader, T. Gelander, N. Monod^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

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.

Original language	English (US)
Pages (from-to)	143-148
Number of pages	6
Journal	Inventiones Mathematicae
Volume	189
Issue number	1
DOIs	https://doi.org/10.1007/s00222-011-0363-2
State	Published - Jul 2012

ASJC Scopus subject areas

General Mathematics

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A fixed point theorem for L ¹ spaces

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