Sur la convergence forte des moyennes des opérateurs affines positifs

Hassan Oukili

Annales de la Faculté des sciences de Toulouse : Mathématiques (1990)

  • Volume: 11, Issue: 1, page 101-114
  • ISSN: 0240-2963

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Oukili, Hassan. "Sur la convergence forte des moyennes des opérateurs affines positifs." Annales de la Faculté des sciences de Toulouse : Mathématiques 11.1 (1990): 101-114. <http://eudml.org/doc/73246>.

@article{Oukili1990,
author = {Oukili, Hassan},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {mean bounded; convergence to a fixed point; positive affine operators on a reflexive Banach lattice},
language = {fre},
number = {1},
pages = {101-114},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Sur la convergence forte des moyennes des opérateurs affines positifs},
url = {http://eudml.org/doc/73246},
volume = {11},
year = {1990},
}

TY - JOUR
AU - Oukili, Hassan
TI - Sur la convergence forte des moyennes des opérateurs affines positifs
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1990
PB - UNIVERSITE PAUL SABATIER
VL - 11
IS - 1
SP - 101
EP - 114
LA - fre
KW - mean bounded; convergence to a fixed point; positive affine operators on a reflexive Banach lattice
UR - http://eudml.org/doc/73246
ER -

References

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  1. [1] A. Brunel .— Théorème ergodique ponctuel pour un semi-groupe commutatif finement engendré de contractions de L1, Ann. I.H.P.B-9 (1973) pp. 327-343 Zbl0272.47007MR344415
  2. [2] Y. Derriennic & M. Lin .— On invariant measures and ergodic theorems for positive operators, J. Funct. Anal.13 (1973) pp. 252-267 Zbl0262.28011
  3. [3] W.G. Dotson .— Mean ergodic theorems and iterative solution of linear functional equations, J. Math. Anal. Appl.34 (1971) pp. 141-150 Zbl0233.47010MR301529
  4. [4] N. Dunford & J.T. Schwartz .— Linear operators I, Interscience, New-York (1958) Zbl0084.10402
  5. [5] R. Emilion .— Mean bounded operators and mean ergodic theorems, C.R. Acad. Sc.Paris296 (1983) série I, pp. 641-643 Zbl0537.47004MR705680
  6. [6] H. Heinich .— Convergence des moyennes d'un opérateur positif, C.R. Acad. Sc.Paris297 (1983) pp. 237-240 Zbl0536.47030MR727178
  7. [7] H.N. Schaefer . - Banach lattices and positive operators, Springer-Verlag (1974) Zbl0296.47023MR423039
  8. [8] E.C. Titchmarsh .— The theory of functions, Clarendon Press, Oxford (1932) Zbl0005.21004
  9. [9] K. Yosida .— Functional Analysis, Springer Grundlehren123, 4th edition (1974) Zbl0286.46002MR350358

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