This is an announcement for the paper "On distribution and almost convergence of bounded sequences" by Chao You and Bao Qi Feng.

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.

Archive classification: math.FA math.GM

Mathematics Subject Classification: Primary 40G05, 46A35, 54A20; Secondary 11K36

Remarks: 8 pages

The source file(s), Ondistributionandalmostconvergenceofboundedsequences.tex: 25039 bytes, is(are) stored in gzipped form as 0805.3950.gz with size 8kb. The corresponding postcript file has gzipped size 68kb.

Submitted from: hityou1982@gmail.com

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