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Duran, JP (1974)

Almost convergence, summability and ergodicity

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

ISSN/ISBN: Not available at this time. DOI: 10.4153/CJM-1974-039-6

Abstract: 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.

@article {, AUTHOR = {J. Peter Duran}, TITLE = {Almost convergence, summability and ergodicity}, JOURNAL = {Canadian Journal of Mathematics}, YEAR = {1974}, VOLUME = {26}, NUMBER = {2}, PAGES = {372--387}, DOI = {10.4153/CJM-1974-039-6}, URL = {},

Reference Type: Journal Article

Subject Area(s): Analysis, Measure Theory