Results 1 to 10 of about 1,076,716 (239)
Product of H-Toeplitz operator and Toeplitz operator on the Bergman space
AIMS Mathematics, 2023 In this paper, we characterize when the product of two H-Toeplitz operators to be another H-Toeplitz with one general and another quasihomogeneous symbols.
Qian Ding , Yong Chen
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Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results [PDF]
Advances in Mathematical Physics, 2010 This article is a review on Berezin-Toeplitz operator and Berezin-Toeplitz deformation quantization for compact quantizable Kähler manifolds. The basic objects, concepts, and results are given.
Martin Schlichenmaier
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Unitary equivalence to a truncated Toeplitz operator: analytic symbols [PDF]
, 2011 Unlike Toeplitz operators on $H^2$, truncated Toeplitz operators do not have a natural matricial characterization. Consequently, these operators are difficult to study numerically.
Garcia, Stephan Ramon +2 more
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Reducing Subspaces of the Dual Truncated Toeplitz Operator
Journal of Function Spaces, 2018 We define the dual truncated Toeplitz operators and give some basic properties of them. In particular, spectrum and reducing subspaces of some special dual truncated Toeplitz operator are characterized.
Yinyin Hu +4 more
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On th-Order Slant Weighted Toeplitz Operator [PDF]
The Scientific World Journal, 2013 Let be a sequence of positive numbers with , when and when . A th-order slant weighted Toeplitz operator on is given by , where is the multiplication on and is an operator on given by , being the orthonormal basis for . In this paper, we define
S. C. Arora, Ritu Kathuria
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Commutative algebras of Toeplitz operators on the Bergman space revisited: Spectral theorem approach [PDF]
Integral equations and operator theory, 2022 For three standard models of commutative algebras generated by Toeplitz operators in the weighted analytic Bergman space on the unit disk, we find their representations as the algebras of bounded functions of certain unbounded self-adjoint operators.
Grigori Rozenblum, Nikolai Vasilevski
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Norm Estimates for Selfadjoint Toeplitz Operators on the Fock Space [PDF]
, 2022 An estimate for the norm of selfadjoint Toeplitz operators with a radial, bounded and integrable symbol is obtained. This emphasizes the fact that the norm of such operator is strictly less than the supremum norm of the symbol.
Antonio Galbis
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On a weighted Toeplitz operator and its commutant
International Journal of Mathematics and Mathematical Sciences, 2005 We study the structure of a class of weighted Toeplitz operators and obtain a description of the commutant of each operator in this class. We make some progress towards proving that the only operator in the commutant which is not a scalar multiple of the
Vasile Lauric
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Toeplitz operators and Wiener-Hopf factorisation: an introduction
Concrete Operators, 2017 Wiener-Hopf factorisation plays an important role in the theory of Toeplitz operators. We consider here Toeplitz operators in the Hardy spaces Hp of the upper half-plane and we review how their Fredholm properties can be studied in terms of a Wiener-Hopf
Câmara M. Cristina
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The operator system of Toeplitz matrices [PDF]
Transactions of the American Mathematical Society. Series B, 2021 A recent paper of A. Connes and W.D. van Suijlekom [Comm. Math. Phys. 383 (2021), pp. 2021–2067] identifies the operator system of n × n n\times n Toeplitz matrices with the dual of the space of all trigonometric
D. Farenick
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