Unbounded Toeplitz operators in the Bargmann-Segal space
J. Janas (1991)
Studia Mathematica
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J. Janas (1991)
Studia Mathematica
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J. Janas (1983)
Annales Polonici Mathematici
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Albrecht Böttcher, Hartmut Wolf (1997)
Banach Center Publications
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Let A stand for a Toeplitz operator with a continuous symbol on the Bergman space of the polydisk or on the Segal-Bargmann space over . Even in the case N = 1, the spectrum Λ(A) of A is available only in a few very special situations. One approach to gaining information about this spectrum is based on replacing A by a large “finite section”, that is, by the compression of A to the linear span of the monomials . Unfortunately, in general the spectrum of does not mimic the spectrum...
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.
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.
Miroslav Engliš (1988)
Commentationes Mathematicae Universitatis Carolinae
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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.
Louis de Boutet de Monvel (1978/79)
Inventiones mathematicae
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Donara Nguon (1993)
Bulletin de la Société Mathématique de France
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Foth, Tatyana (2007)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Guediri, Hocine (2010)
Abstract and Applied Analysis
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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...