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.
Bibtex:
@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 = {https://cms.math.ca/10.4153/CJM-1974-039-6},
Reference Type: Journal Article
Subject Area(s): Analysis, Measure Theory