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About: Silverman–Toeplitz theorem     Goto   Sponge   NotDistinct   Permalink

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Type: yago:WikicatTheoremsInAnalysisyago:WikicatSummabilityMethodsyago:Ability105616246yago:Abstraction100002137yago:Cognition100023271yago:Communication100033020yago:Know-how105616786yago:Message106598915yago:Method105660268yago:Proposition106750804yago:PsychologicalFeature100023100yago:Statement106722453yago:Theorem106752293 New Facet based on Instances of this Class

In mathematics, the Silverman–Toeplitz theorem, first proved by Otto Toeplitz, is a result in summability theory characterizing matrix summability methods that are regular. A regular matrix summability method is a matrix transformation of a convergent sequence which preserves the limit. An infinite matrix with complex-valued entries defines a regular summability method if and only if it satisfies all of the following properties: An example is Cesaro summation, a matrix summability method with