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Berezin-Toeplitz Quantization for Compact Kähler Manifolds. A Review of Results

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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Properties of two variables Toeplitz type operators

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016
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
Elżbieta Król-Klimkowska, Marek Ptak
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Algebraic and spectral properties of H-Toeplitz operators on the Bergman space

AIMS Mathematics
In this paper, we discuss the zero product problem of two H-Toeplitz operators and the commuting problem of H-Toeplitz and Hankel operators on the Bergman space.
Jie Zhang
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Commuting Toeplitz operators and H-Toeplitz operators on Bergman space

AIMS Mathematics
In this paper, we consider the H-Toeplitz and Toeplitz operators acting on the Bergman space. First, we describe the characterizations of commutativity of two H-Toeplitz operators with certain harmonic symbols.
Qian Ding
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Toeplitz matrix completion via a low-rank approximation algorithm

Journal of Inequalities and Applications, 2020
In this paper, we propose a low-rank matrix approximation algorithm for solving the Toeplitz matrix completion (TMC) problem. The approximation matrix was obtained by the mean projection operator on the set of feasible Toeplitz matrices for every ...
Ruiping Wen, Yaru Fu
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Toeplitz Operators with Quasihomogeneous Symbols on the Bergman Space of the Unit Ball

Journal of Function Spaces and Applications, 2012
We consider when the product of two Toeplitz operators with some quasihomogeneous symbols on the Bergman space of the unit ball equals a Toeplitz operator with quasihomogeneous symbols.
Bo Zhang, Yufeng Lu
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Toeplitz Operators on the Dirichlet Space of 𝔹n

Abstract and Applied Analysis, 2012
We study the algebraic properties of Toeplitz operators on the Dirichlet space of the unit ball 𝔹n. We characterize pluriharmonic symbol for which the corresponding Toeplitz operator is normal or isometric.
HongZhao Lin, YuFeng Lu
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On the Commutativity of a Certain Class of Toeplitz Operators

Concrete Operators, 2014
One of the major goals in the theory of Toeplitz operators on the Bergman space over the unit disk D in the complex place C is to completely describe the commutant of a given Toeplitz operator, that is, the set of all Toeplitz operators that commute with
Louhichi Issam, Randriamahaleo Fanilo, Zakariasy Lova   +2 more
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Dual Toeplitz Operators on Bounded Symmetric Domains

Mathematics
We give some characterizations of dual Toeplitz operators acting on the orthogonal complement of the Bergman space over bounded symmetric domains. Our main result characterizes those finite sums of products of Toeplitz operators that are themselves dual ...
Jianxiang Dong
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Asymmetric truncated Toeplitz operators and Toeplitz operators with matrix symbol [PDF]

Journal of Operator Theory, 2017
Truncated Toeplitz operators and their asymmetric versions are studied in the context of the Hardy space $H^p$ of the half-plane for ...
Câmara, M. Cristina, Partington, Jonathan R.   +1 more
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