A fixed point theorem for L 1 spaces

被引：53

作者：

Bader, U. ^{[3
]}

Gelander, T. ^{[2
]}

Monod, N. ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, CH-1015 Lausanne, Switzerland

[2] Hebrew Univ Jerusalem, Jerusalem, Israel

[3] Technion Israel Inst Technol, Haifa, Israel

来源：

INVENTIONES MATHEMATICAE | 2012年 / 189卷 / 01期

基金：

以色列科学基金会; 欧洲研究理事会; 瑞士国家科学基金会;

关键词：

PROPERTY-T;

D O I：

10.1007/s00222-011-0363-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：143 / 148

页数：6

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