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

Mourad Besbes

Studia Mathematica (1992)

  • Volume: 103, Issue: 1, page 79-97
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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Besbes, Mourad. "Points fixes et théorèmes ergodiques dans les espaces L¹(E)." Studia Mathematica 103.1 (1992): 79-97. <http://eudml.org/doc/215937>.

@article{Besbes1992,
author = {Besbes, Mourad},
journal = {Studia Mathematica},
keywords = {linear contraction; fixed points; 1-complemented},
language = {fre},
number = {1},
pages = {79-97},
title = {Points fixes et théorèmes ergodiques dans les espaces L¹(E)},
url = {http://eudml.org/doc/215937},
volume = {103},
year = {1992},
}

TY - JOUR
AU - Besbes, Mourad
TI - Points fixes et théorèmes ergodiques dans les espaces L¹(E)
JO - Studia Mathematica
PY - 1992
VL - 103
IS - 1
SP - 79
EP - 97
LA - fre
KW - linear contraction; fixed points; 1-complemented
UR - http://eudml.org/doc/215937
ER -

References

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