A constructive view on ergodic theorems
Spitters, Bas
J. Symbolic Logic, Tome 71 (2006) no. 1, p. 611-623 / Harvested from Project Euclid
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Let T be a positive L₁-L∞ contraction. We prove that the following statements are equivalent in constructive mathematics. [start-list] *1. The projection in L₂ on the space of invariant functions exists; *2. The sequence (Tⁿ)n ∈ N Cesáro-converges in the L₂ norm; *3. The sequence (Tⁿ)n ∈ N Cesáro-converges almost everywhere.[end-list]
Publié le : 2006-06-14
Classification:  
@article{1146620162,
     author = {Spitters, Bas},
     title = {A constructive view on ergodic theorems},
     journal = {J. Symbolic Logic},
     volume = {71},
     number = {1},
     year = {2006},
     pages = { 611-623},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1146620162}
}

Spitters, Bas. A constructive view on ergodic theorems. J. Symbolic Logic, Tome 71 (2006) no. 1, pp.  611-623. http://gdmltest.u-ga.fr/item/1146620162/