Points fixes et théorèmes ergodiques dans les espaces L¹(E)

Mourad Besbes

ArticleOriginal scientific text

Title

Points fixes et théorèmes ergodiques dans les espaces L¹(E)

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Affiliations

Equipe d'Analyse, Université Paris VI, Boîte 186, 4, Place Jussieu, F-75252 Paris Cedex 05, France

Abstract

We prove that for each linear contraction T : X → X (∥T∥ ≤ 1), the subspace F = {x ∈ X : Tx = x} of fixed points is 1-complemented, where X is a suitable subspace of L¹(E*) and E* is a separable dual space such that the weak and weak* topologies coincide on the unit sphere. We also prove some related fixed point results.

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Title

Points fixes et théorèmes ergodiques dans les espaces L¹(E)

Affiliations

Abstract

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