A fixed point theorem for L ^sup 1^ spaces

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

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Bibliographic Details
Published in:Inventiones mathematicae 2012-07, Vol.189 (1), p.143
Main Authors: Bader, U, Gelander, T, Monod, N
Format: Article
Language:English
Online Access:Get full text
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Description
Summary:We prove a fixed point theorem for a family of Banach spaces including notably L ^sup 1^ and its non-commutative analogues. Several applications are given, e.g. the optimal solution to the "derivation problem" studied since the 1960s.[PUBLICATION ABSTRACT]
ISSN:0020-9910
1432-1297
DOI:10.1007/s00222-011-0363-2