A fixed point theorem for L 1 spaces

• 成果类型: Article
• 署名作者: Bader, U.; Gelander, T.; Monod, N.
• 署名单位: Swiss Federal Institutes of Technology Domain; Ecole Polytechnique Federale de Lausanne; Hebrew University of Jerusalem; Technion Israel Institute of Technology
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-011-0363-2
• 发表日期: 2012
• 页码: 143-148
• 关键词: property-t

摘要

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.