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

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.

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Bibliographic Details
Main Author: Jeff Connor
Format: Article
Language:English
Published: Wiley 1990-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171290001077
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author Jeff Connor
author_facet Jeff Connor
author_sort Jeff Connor
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1990-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-b25eb38b710d459faab704db0032e0362025-08-20T03:39:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-0113477577710.1155/S0161171290001077Almost none of the sequences of 0's and 1's are almost convergentJeff Connor0Department of Mathematics, Ohio University, Athens 45701, Ohio, USAWe 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.http://dx.doi.org/10.1155/S0161171290001077Banach limitalmost convergence.
spellingShingle Jeff Connor
Almost none of the sequences of 0's and 1's are almost convergent
International Journal of Mathematics and Mathematical Sciences
Banach limit
almost convergence.
title Almost none of the sequences of 0's and 1's are almost convergent
title_full Almost none of the sequences of 0's and 1's are almost convergent
title_fullStr Almost none of the sequences of 0's and 1's are almost convergent
title_full_unstemmed Almost none of the sequences of 0's and 1's are almost convergent
title_short Almost none of the sequences of 0's and 1's are almost convergent
title_sort almost none of the sequences of 0 s and 1 s are almost convergent
topic Banach limit
almost convergence.
url http://dx.doi.org/10.1155/S0161171290001077
work_keys_str_mv AT jeffconnor almostnoneofthesequencesof0sand1sarealmostconvergent