A fixed point theorem for L^1 spaces

Nicolas Monod; Tsachik Gelander; Uri Bader

arxiv: 1012.1488 · v2 · pith:7DCDE2D3new · submitted 2010-12-07 · 🧮 math.FA · math.GR· math.OA

A fixed point theorem for L¹ spaces

Uri Bader , Tsachik Gelander , Nicolas Monod This is my paper

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keywords fixedpointspacestheoremanaloguesapplicationsbanachderivation

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We prove a fixed point theorem for a family of Banach spaces, 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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A fixed point theorem for L¹ spaces

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