Search results
Results From The WOW.Com Content Network
In mathematics, the Silverman–Toeplitz theorem, first proved by Otto Toeplitz, is a result in series summability theory characterizing matrix summability methods that are regular. A regular matrix summability method is a linear sequence transformation that preserves the limits of convergent sequences . [ 1 ]
Otto Toeplitz and Alexander Ostrowski. Toeplitz was born to a Jewish family of mathematicians. Both his father and grandfather were Gymnasium mathematics teachers and published papers in mathematics. Toeplitz grew up in Breslau and graduated from the Gymnasium there.
Toeplitz algebra, the C*-algebra generated by the unilateral shift on the Hilbert space; Toeplitz Hash Algorithm, used in many network interface controllers; Hellinger–Toeplitz theorem, an everywhere defined symmetric operator on a Hilbert space is bounded; Silverman–Toeplitz theorem, characterizing matrix summability methods which are regular
The Silverman–Toeplitz theorem characterizes matrix summation methods, which are methods for summing a divergent series by applying an infinite matrix to the vector of coefficients. The most general methods for summing a divergent series are non-constructive and concern Banach limits .
Silverman–Toeplitz theorem; Summation by parts; Z. Zeldovich regularization; Zeta function regularization This page was last edited on 9 January 2014, at 19:17 (UTC ...
Silverman–Toeplitz theorem (mathematical analysis) Simplicial approximation theorem (algebraic topology) Sinkhorn's theorem (matrix theory) Sion's minimax theorem (game theory) Sipser–Lautemann theorem (probabilistic complexity theory) (structural complexity theory) Siu's semicontinuity theorem (complex analysis) Six circles theorem
Toeplitz matrices are also closely connected with Fourier series, because the multiplication operator by a trigonometric polynomial, compressed to a finite-dimensional space, can be represented by such a matrix. Similarly, one can represent linear convolution as multiplication by a Toeplitz matrix. Toeplitz matrices commute asymptotically.
Silverman–Toeplitz theorem; U. Unconditional convergence This page was last edited on 11 October 2010, at 18:00 (UTC). Text is available under the Creative ...