Results 31 to 40 of about 1,150,129 (227)

Algebraic Properties of Quasihomogeneous and Separately Quasihomogeneous Toeplitz Operators on the Pluriharmonic Bergman Space

Abstract and Applied Analysis, 2013
We study some algebraic properties of Toeplitz operator with quasihomogeneous or separately quasihomogeneous symbol on the pluriharmonic Bergman space of the unit ball in ℂn. We determine when the product of two Toeplitz operators with certain separately
Hongyan Guan, Liu Liu, Yufeng Lu
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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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Essential commutants and characterizations of the Toeplitz algebra [PDF]

Journal of operator theory, 2020
We study the Toeplitz algebra which is generated by Toeplitz operators with bounded symbols on the Fock space Fpα. We show that the Toeplitz algebra coincides with each of the algebras generated by band-dominated, sufficiently localized and weakly ...
Raffael Hagger
semanticscholar   +1 more source

Characterizations of dual truncated Toeplitz operators

, 2021
We present an operator equation characterization of a dual truncated Toeplitz (DTT) operator using the compressed shift operator. This characterization is an analogue of the classical characterization of a Toeplitz operator [2] and the more recent ...
Caixing Gu
semanticscholar   +1 more source

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 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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Normal Truncated Toeplitz Operators [PDF]

Complex Analysis and Operator Theory, 2017
The characterization of normal truncated Toepltiz operators is first given by Chalendar and Timotin. We give an elementary proof of their result without using the algebraic properties of truncated Toeplitz operators.
openaire   +2 more sources

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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