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In operator theory, a Toeplitz operator is the compression of a multiplication operator on the circle to the Hardy space.
In operator theory, a Toeplitzoperator is the compression of a multiplication operator on the circle to the Hardy space. Let S 1 {\displaystyle S^{1}}...
In linear algebra, a Toeplitz matrix or diagonal-constant matrix, named after Otto Toeplitz, is a matrix in which each descending diagonal from left to...
Slovenia Toeplitz matrix, a structured matrix with equal values along diagonals Toeplitzoperator, the compression of a multiplication operator on the circle...
and discovered the basic ideas of what are now called the Toeplitzoperators. In 1913 Toeplitz became an extraordinary professor at the University of Kiel...
with composition operators, which are similarly induced by any fixed function f. They are also closely related to Toeplitzoperators, which are compressions...
vanish on T {\displaystyle \mathbf {T} } , and let Tφ denote the Toeplitzoperator with symbol φ, equal to multiplication by φ followed by the orthogonal...
Hardy space. The success in studying multiplication operators, and more generally Toeplitzoperators (which are multiplication, followed by projection onto...
In operator algebras, the Toeplitz algebra is the C*-algebra generated by the unilateral shift on the Hilbert space l2(N). Taking l2(N) to be the Hardy...
of the polynomial distribution approximation. Cauchy matrix Jacobi operatorToeplitz matrix, an "upside down" (that is, row-reversed) Hankel matrix Vandermonde...
examples of subnormal operators are isometries and Toeplitzoperators with analytic symbols. Let H be a Hilbert space. A bounded operator A on H is said to...
are matrix-valued functions (so that the corresponding Toeplitzoperators are matrices of operators on H2(S)). In particular if f is a function on S taking...
compact operators. Spectral theory of compact operators Strictly singular operator Widom, H. (1976). "Asymptotic Behaviour of Block Toeplitz Matrices...
His Ph.D. thesis, dealing with geometric aspects of Hankel operators and Toeplitzoperators, was supervised by Nikolai Kapitonovich Nikolski. From 1986...
resulting sum has some generalized kind of second derivative using Toeplitzoperators. Later on, Georg Cantor generalized Riemann's techniques to show that...
Pm(f)-m(f)P} is trace-class. Let T ( f ) {\displaystyle T(f)} be the Toeplitzoperator on H 2 ( S 1 ) {\displaystyle H^{2}(S^{1})} defined by T ( f ) = P...
equations and operator theory, in particular the determination of the spectra of a semi-infinite Toeplitz matrix and Wiener-Hopf operators, and the asymptotic...
Scaled correlation Titchmarsh convolution theorem Toeplitz matrix (convolutions can be considered a Toeplitz matrix operation where each row is a shifted copy...
A symmetric operator defined everywhere is closed, therefore bounded, which is the Hellinger–Toeplitz theorem. By definition, an operator T is an extension...
Diagonalizable matrix Jordan normal form Multiplication operator Tridiagonal matrix Toeplitz matrix Toral Lie algebra Circulant matrix Proof: given the...
( b ) {\displaystyle {\mathcal {H}}(b)} and the ranges of certain Toeplitzoperators. Using reproducing kernel Hilbert space techniques, he gave elegant...
represents a symmetric, tridiagonal matrix. For an equidistant grid one gets a Toeplitz matrix. The 2D case shows all the characteristics of the more general n-dimensional...
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