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Lorentz' paper is a classical reference to the mentioned result, but I didn't have this paper, so I included two another references, which were available to me. (In books on summability theory authors usually don't deal with Banach limits and this aspect of almost convergence isn't studied.) I do not know, whether this notion was intoduced by Lorentz or before him. If someone knows this, please, complete the article. -- Kompik 18:58:17, 2005-09-04 (UTC)