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On Noetherity of Two-Dimensional Toeplitz Operator on Some Topological Spaces
AbstractA two-dimensional Toeplitz operator is studied on countably normed spaces of functions on the torus, which are smooth on one or both...
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The Generalized Volterra Integral Operator and Toeplitz Operator on Weighted Bergman Spaces
We study the boundedness and compactness of the generalized Volterra integral operator on weighted Bergman spaces with doubling weights on the unit...
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On the Structure of the Spectrum and the Resolvent Set of a Toeplitz Operator in a Countably Normed Space of Smooth Functions
AbstractIn the countably normed space of smooth functions on the unit circle, we consider a Toeplitz operator with a smooth symbol. Questions...
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Kernels of Toeplitz operators on the Bergman space
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...
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Sums of dual Toeplitz products on the orthogonal complements of Fock-Sobolev spaces
We consider dual Toeplitz operators on the orthogonal complements of the Fock-Sobolev spaces of all nonnegative real orders. First, for symbols in a...
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Essential positivity for Toeplitz operators on the Fock space
In this short note, we discuss essential positivity of Toeplitz operators on the Fock space, as motivated by a recent question of Perälä and Virtanen...
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Complex FIOs and composition of Toeplitz operators
We study Toeplitz operators on the Bargmann space, with Toeplitz symbols that are exponentials of complex quadratic forms, from the point of view of...
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Toeplitz density operators and their separability properties
Toeplitz operators (also called localization operators) are a generalization of the well-known anti-Wick pseudodifferential operators studied by...
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Toeplitz Operator with a Finite Number of Horizontal Symbols Acting on the Poly-Fock Spaces
We study the \(C^*\) -algebra generated by Toeplitz...
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Block dual Toeplitz Operators on the Orthogonal Complements of Fock Spaces
In this paper, we characterize the boundedness and compactness of the block dual Toeplitz operators acting on the orthogonal complement of the Fock...
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Truncated Toeplitz Operators
Truncated Toeplitz operators are compressions of Toeplitz operators on model spaces; they have received much attention in the last years. This survey...
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Semicommutators of Truncated Toeplitz Operators
In this paper semicommutators of truncated Toeplitz operators on some model space are discussed. We investigate when the product or the...
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One-sided invertibility of Toeplitz operators on the space of all holomorphic functions on finitely connected domains
We prove that if the symbol of a Toeplitz operator acting on the space of all holomorphic functions on a finitely connected domain is non-degenerate...
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The eigenvalues, numerical ranges, and invariant subspaces of the Bergman Toeplitz operators over the bidisk
In this paper, we consider several questions about the eigenvalues, the numerical ranges, and the invariant subspaces of the Toeplitz operator on the...
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Hyponormal Dual Toeplitz Operators on the Orthogonal Complement of the Harmonic Bergman Space
In this paper, we mainly study the hyponormality of dual Toeplitz operators on the orthogonal complement of the harmonic Bergman space. First we show...
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Toeplitz operators with monomial symbols on the Dirichlet spaces
In this paper, we are concerned with the various properties of the Toeplitz operators acting on the Dirichlet spaces. First, we consider the matrix...
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Block dual Toeplitz operators on the orthogonal complement of the Dirichlet space
We give some characterizations of block dual Toeplitz operators acting on the orthogonal complement of the Dirichlet space. We characterized the...