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Duran, JP (1974)

Almost convergence, summability and ergodicity

Canadian Journal of Mathematics 26(2), 372-387.

ISSN/ISBN: Not available at this time. DOI: Not available at this time.



Abstract: INTRODUCTION: The notion of almost convergence introduced by Lorentz has been generalized in several directions. It is the purpose of this paper to give a generalization based on the original definition based on invariant means. This is effected by replacing the shift transformation by an "ergodic" semigroup A of positive regular matrices in the definition of an invariant mean. The resulting "A-invariant means" give rise to a summability method which we dub A-almost convergence


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Reference Type: Journal Article

Subject Area(s): Analysis, Measure Theory