### On infinite bounded-Toeplitz extensions of Toeplitz matrices.

Il'in, S.N. (2004)

Zapiski Nauchnykh Seminarov POMI

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Il'in, S.N. (2004)

Zapiski Nauchnykh Seminarov POMI

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Yufeng Lu, Linghui Kong (2014)

Studia Mathematica

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We first determine when the sum of products of Hankel and Toeplitz operators is equal to zero; then we characterize when the product of a Toeplitz operator and a Hankel operator is a compact perturbation of a Hankel operator or a Toeplitz operator and when it is a finite rank perturbation of a Toeplitz operator.

Sanzheng Qiao (1988)

Numerische Mathematik

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Elżbieta Król-Klimkowska, Marek Ptak (2016)

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

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The investigation of properties of generalized Toeplitz operators with respect to the pairs of doubly commuting contractions (the abstract analogue of classical two variable Toeplitz operators) is proceeded. We especially concentrate on the condition of existence such a non-zero operator. There are also presented conditions of analyticity of such an operator.

Miroslav Engliš, Jari Taskinen (2007)

Studia Mathematica

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It is well known that one can often construct a star-product by expanding the product of two Toeplitz operators asymptotically into a series of other Toeplitz operators multiplied by increasing powers of the Planck constant h. This is the Berezin-Toeplitz quantization. We show that one can obtain in a similar way in fact any star-product which is equivalent to the Berezin-Toeplitz star-product, by using instead of Toeplitz operators other suitable mappings from compactly supported smooth...

D.R. Sweet (1984)

Numerische Mathematik

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Titus Hilberdink (2006)

Acta Arithmetica

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E.H. BAREISS (1969)

Numerische Mathematik

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Tadeusz Rojek (1989)

Compositio Mathematica

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Foth, Tatyana (2007)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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Albrecht Böttcher (1990)

Monatshefte für Mathematik

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Marek Ptak (2005)

Annales Polonici Mathematici

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Projections onto the spaces of all Toeplitz operators on the N-torus and the unit sphere are constructed. The constructions are also extended to generalized Toeplitz operators and applied to show hyperreflexivity results.

Joanna Jurasik, Bartosz Łanucha (2016)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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Asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These operators are natural generalizations of truncated Toeplitz operators. In this paper we describe symbols of asymmetric truncated Toeplitz operators equal to the zero operator.

Taddesse Zegeye, S.C. Arora (2001)

Publications de l'Institut Mathématique

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D.R. Sweet (1990/91)

Numerische Mathematik

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A. Böttcher, S. Grudsky (2001)

The journal of Fourier analysis and applications [[Elektronische Ressource]]

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Boo Rim Choe, Hyungwoon Koo, Young Joo Lee (2008)

Studia Mathematica

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On the harmonic Bergman space of the ball, we give characterizations for an arbitrary positive Toeplitz operator to be a Schatten class operator in terms of averaging functions and Berezin transforms.