Silverman–Toeplitz theorem
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 withCitations
