In operator theory, a Toeplitz operator is the compression of a multiplication operator on the circle to the Hardy space. Let S 1 {\displaystyle S^{1}}...

and discovered the basic ideas of what are now called the Toeplitz operators. In 1913 Toeplitz became an extraordinary professor at the University of Kiel...

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...

a branch of mathematics, the Hellinger–Toeplitz theorem states that an everywhere-defined symmetric operator on a Hilbert space with inner product ⟨...

with composition operators, which are similarly induced by any fixed function f. They are also closely related to Toeplitz operators, which are compressions...

Slovenia Toeplitz matrix, a structured matrix with equal values along diagonals Toeplitz operator, the compression of a multiplication operator on the circle...

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...

Hardy space. The success in studying multiplication operators, and more generally Toeplitz operators (which are multiplication, followed by projection onto...

vanish on T {\displaystyle \mathbf {T} } , and let Tφ denote the Toeplitz operator with symbol φ, equal to multiplication by φ followed by the orthogonal...

examples of subnormal operators are isometries and Toeplitz operators with analytic symbols. Let H be a Hilbert space. A bounded operator A on H is said to...

{\displaystyle A:\operatorname {Dom} (A)\to H} a symmetric operator. According to Hellinger–Toeplitz theorem, if Dom ⁡ ( A ) = H {\displaystyle \operatorname...

resulting sum has some generalized kind of second derivative using Toeplitz operators. Later on, Georg Cantor generalized Riemann's techniques to show that...

are matrix-valued functions (so that the corresponding Toeplitz operators are matrices of operators on H2(S)). In particular if f is a function on S taking...

constrained approximation in H2 by diagonalization of Toeplitz operators". Integral Equations and Operator Theory. 45 (3): 269–29. doi:10.1007/s000200300005...

Spectral theory of compact operators Strictly singular operator Widom, H. (1976). "Asymptotic Behaviour of Block Toeplitz Matrices and Determinants. II"...

His Ph.D. thesis, dealing with geometric aspects of Hankel operators and Toeplitz operators, was supervised by Nikolai Kapitonovich Nikolski. From 1986...

A symmetric operator defined everywhere is closed, therefore bounded, which is the Hellinger–Toeplitz theorem. By definition, an operator T is an extension...

Hellinger–Toeplitz theorem. This property does not hold on H R . {\displaystyle H_{\mathbb {R} }.} A natural partial ordering of self-adjoint operators arises...

description of the Toeplitz algebra and that the spectrum of a unitary operator is contained in the circle T. The following properties of the Toeplitz algebra will...

theorems describe the asymptotic behaviour of the determinants of large Toeplitz matrices. They were first proved by Gábor Szegő. Let w {\displaystyle w}...

equations and operator theory, in particular the determination of the spectra of a semi-infinite Toeplitz matrix and Wiener-Hopf operators, and the asymptotic...

correlation functions related to aspects of theoretical Fredholm and Toeplitz operators, and the theory of integrable nonlinear partial and ordinary differential...

the general theory of C*-algebras, the spectral and index theory of Toeplitz operators on Hardy spaces of ordered groups and bounded symmetric domains, and...

Pm(f)-m(f)P} is trace-class. Let T ( f ) {\displaystyle T(f)} be the Toeplitz operator on H 2 ( S 1 ) {\displaystyle H^{2}(S^{1})} defined by T ( f ) = P...

Diagonalizable matrix Jordan normal form Multiplication operator Tridiagonal matrix Toeplitz matrix Toral Lie algebra Circulant matrix Proof: given the...

of the polynomial distribution approximation. Cauchy matrix Jacobi operator Toeplitz matrix, an "upside down" (that is, row-reversed) Hankel matrix Vandermonde...

Scaled correlation Titchmarsh convolution theorem Toeplitz matrix (convolutions can be considered a Toeplitz matrix operation where each row is a shifted copy...

180 papers. Böttcher, Albert; Silbermann, Bernd (2006). Analysis of Toeplitz Operators. Springer Berlin, Heidelberg. doi:10.1007/3-540-32436-4. ISBN 978-3-540-32434-8...

single isometry, which is the classical Toeplitz algebra. Operator algebra Kaplansky, I. (1953). "Modules over operator algebras". American Journal of Mathematics...

to the right relative to the preceding row. It is a particular kind of Toeplitz matrix. In numerical analysis, circulant matrices are important because...