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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 ]
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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
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.
An Toeplitz matrix may be defined as a matrix where , =, for constants , …,.The set of Toeplitz matrices is a subspace of the vector space of matrices (under matrix addition and scalar multiplication).
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]
Download as PDF; Printable version; In other projects ... Silverman–Toeplitz theorem; Stolz–Cesàro theorem; Cauchy's limit theorem; Summation by parts;
Download as PDF; Printable version; In other projects ... a Toeplitz operator is the compression of a multiplication operator ... He attributes the theorem to Mark ...