A fixed point theorem for L1 spaces

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.

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Bibliographic Details
Published in:Inventiones mathematicae 2012-07, Vol.189 (1), p.143-148
Main Authors: Bader, U., Gelander, T., Monod, N.
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary: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.
ISSN:0020-9910
1432-1297
DOI:10.1007/s00222-011-0363-2