International Journal of Mathematics and Mathematical Sciences
Volume 13 (1990), Issue 4, Pages 775-778
doi:10.1155/S0161171290001077

Almost none of the sequences of 0's and 1's are almost convergent

Jeff Connor

Department of Mathematics, Ohio University, Athens 45701, Ohio, USA

Abstract

We establish that, in the sense of the Law of Large Numbers, almost none of the sequences of 0’s and 1’s are assigned the same value by every Banach limit.