Truncated Toeplitz Operators on the Polydisk.
Albrecht Böttcher (1990)
Monatshefte für Mathematik
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Albrecht Böttcher (1990)
Monatshefte für Mathematik
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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.
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...
Carl C. Cowen, John J. Long (1984)
Journal für die reine und angewandte Mathematik
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Carl C. Cowen (1986)
Journal für die reine und angewandte Mathematik
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Douglas N. Clark (1980)
Journal für die reine und angewandte Mathematik
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Miroslav Engliš (1988)
Commentationes Mathematicae Universitatis Carolinae
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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.
Donara Nguon (1993)
Bulletin de la Société Mathématique de France
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J. Janas (1991)
Studia Mathematica
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Foth, Tatyana (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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.