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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 ]
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 ...
Otto Toeplitz. Here is how Gottfried Köthe, who was Toeplitz's assistant in Bonn, described their collaboration: Otto liked to take walks and talk about scientific questions. I in fact needed a piece of paper and pencil to write everything down. Toeplitz convinced me that the great outline of research comes to light best in dialog.
Sarason interpolation theorem; Sard's theorem; Shift theorem; Silverman–Toeplitz theorem; Stahl's theorem; Stirling's approximation; Stone–Weierstrass theorem; Strichartz estimate; Sturm separation theorem; Sturm–Picone comparison theorem; Symmetry of second derivatives; Szegő limit theorems
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
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 ...
Toeplitz matrices are persymmetric. Symmetric Toeplitz matrices are both centrosymmetric and bisymmetric. 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 ...
The inscribed square problem, also known as the square peg problem or the Toeplitz' conjecture, is an unsolved question in geometry: Does every plane simple closed curve contain all four vertices of some square? This is true if the curve is convex or piecewise smooth and in other special cases. The problem was proposed by Otto Toeplitz in 1911. [1]