On distribution and almost convergence of bounded sequences
Functional Analysis
2008-05-27 v1 General Mathematics
Abstract
In this paper, we give the concepts of properly distributed and simply distributed sequences, and prove that they are almost convergent. Basing on these, we review the work of Feng and Li [Feng, B. Q. and Li, J. L., Some estimations of Banach limits, J. Math. Anal. Appl. 323(2006) No. 1, 481-496. MR2262220 46B45 (46A45).], which is shown to be a special case of our generalized theory.
Keywords
Cite
@article{arxiv.0805.3950,
title = {On distribution and almost convergence of bounded sequences},
author = {Chao You and Bao Qi Feng},
journal= {arXiv preprint arXiv:0805.3950},
year = {2008}
}
Comments
8 pages