Geodesic
Almost Convergence, Summability And Ergodicity
Canadian journal of mathematics, Tome 26 (1974) no. 2, pp. 372-387

Voir la notice de l'article provenant de la source Cambridge University Press

The notion of almost convergence introduced by Lorentz [15] has been generalized in several directions (see, for example [1; 8; 11 ; 14; 17]). I t is the purpose of this paper to give a generalization based on the original definition in terms of invariant means. This is effected by replacing the shift transformation by an "ergodic" semigroup of positive regular matrices in the definition of invariant mean. The resulting "- invariant means" give rise to a summability method which we dub -almost convergence. 
Duran, J. Peter. Almost Convergence, Summability And Ergodicity. Canadian journal of mathematics, Tome 26 (1974) no. 2, pp. 372-387. doi: 10.4153/CJM-1974-039-6
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