Geodesic
The Converse of the Dominated Ergodic Theorem in Hurewicz Setting
Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 405-411

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DOI

The converse of the dominated ergodic theorem in infinite measure spaces is extended to non-singular transformations, i.e. transformations that only preserve the measure of null sets. An inverse weak maximal inequality is given and then applied to obtain related results in Orlicz spaces.
DOI : 10.4153/CMB-1991-065-0
Mots-clés : 28D99, 47A35 
Szabó, László I. The Converse of the Dominated Ergodic Theorem in Hurewicz Setting. Canadian mathematical bulletin, Tome 34 (1991) no. 3, pp. 405-411. doi: 10.4153/CMB-1991-065-0
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     title = {The {Converse} of the {Dominated} {Ergodic} {Theorem} in {Hurewicz} {Setting}},
     journal = {Canadian mathematical bulletin},
     pages = {405--411},
     year = {1991},
     volume = {34},
     number = {3},
     doi = {10.4153/CMB-1991-065-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1991-065-0/}
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