About: Silverman–Toeplitz theorem

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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

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  • 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 (en)
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  • 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 (en)
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  • Silverman–Toeplitz theorem (en)
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