Almost convergent sequence

id: almost-convergent-sequence-244-10583102
title: Almost convergent sequence
text: A bounded real sequence is said to be almost convergent to L if each Banach limit assigns the same value L to the sequence . Lorentz proved that is almost convergent if and only if uniformly in n . The above limit can be rewritten in detail as Almost convergence is studied in summability theory. It is an example of a summability method which cannot be represented as a matrix method.
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original url: https://en.wikipedia.org/wiki/Almost_convergent_sequence
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date modified: 2023-12-28T01:51:03Z
main entity: {"identifier":"Q4734003","url":"https://www.wikidata.org/entity/Q4734003"}
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