On the Index of Toeplitz Operators of Several Complex Variables.
Louis de Boutet de Monvel (1978/79)
Inventiones mathematicae
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Louis de Boutet de Monvel (1978/79)
Inventiones mathematicae
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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.
J. Janas (1975)
Studia Mathematica
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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.
Albrecht Böttcher (1990)
Monatshefte für Mathematik
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Mehdi Nikpour (2019)
Czechoslovak Mathematical Journal
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Based on the results in A. Feintuch (1989), this work sheds light upon some interesting properties of strongly asymptotically Toeplitz and Hankel operators, and relations between these two classes of operators. Indeed, among other things, two main results here are (a) vanishing Toeplitz and Hankel operators forms an ideal, and (b) finding the distance of a strongly asymptotically Toeplitz operator from the set of vanishing Toeplitz operators.
Foth, Tatyana (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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.
J. Janas (1991)
Studia Mathematica
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Miroslav Engliš (1988)
Commentationes Mathematicae Universitatis Carolinae
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Donara Nguon (1993)
Bulletin de la Société Mathématique de France
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Young Joo Lee (2023)
Czechoslovak Mathematical Journal
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A Coburn theorem says that a nonzero Toeplitz operator on the Hardy space is one-to-one or its adjoint operator is one-to-one. We study the corresponding problem for certain Toeplitz operators on the Bergman space.
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...