Representing Kernels of Perturbations of Toeplitz Operators by Backward Shift-Invariant Subspaces
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DOI: 10.1007/s00020-020-02592-7
Abstract: It is well known that the kernel of a Toeplitz operator is nearly invariant under the backward shift $S^*$. This paper shows that kernels of finite-rank perturbations of Toeplitz operators are nearly $S^*$-invariant with finite… read more here.
Keywords: toeplitz operators; backward shift; perturbations toeplitz; representing kernels ... See more keywords
Toeplitz Operators, $$\mathbb {T}^m$$-Invariance and Quasi-homogeneous Symbols
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DOI: 10.1007/s00020-021-02673-1
Abstract: For a partition k = (k1, . . . , km) of n consider the group U(k) = U(k1) × · · · × U(km) block diagonally embedded in U(n) and the center T of… read more here.
Keywords: toeplitz; operators mathbb; mathbb invariance; toeplitz operators ... See more keywords
Kernels of Unbounded Toeplitz Operators and Factorization of Symbols
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DOI: 10.1007/s00025-020-01323-z
Abstract: We consider kernels of unbounded Toeplitz operators in $$H^p({\mathbb {C}}^{+})$$ H p ( C + ) in terms of a factorization of their symbols. We study the existence of a minimal Toeplitz kernel containing a… read more here.
Keywords: toeplitz; operators factorization; kernels unbounded; toeplitz operators ... See more keywords
Dual Toeplitz Operators on the Orthogonal Complement of the Harmonic Bergman Space
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DOI: 10.1007/s10114-021-0315-8
Abstract: In this paper, we characterize that the boundedness, compactness and spectral structure of dual Toeplitz operators acting on the orthogonal complement of the harmonic Bergman space. This generalizes the corresponding results for dual Toeplitz operators… read more here.
Keywords: bergman space; toeplitz operators; orthogonal complement; dual toeplitz ... See more keywords
Compressions of kth-order slant Toeplitz operators to model spaces
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DOI: 10.1007/s10986-021-09548-3
Abstract: In this paper, we consider compressions of k th-order slant Toeplitz operators to the backward shift-invariant subspaces of the classical Hardy space H 2 . In particular, we characterize these operators using compressed shifts and… read more here.
Keywords: order slant; toeplitz operators; slant toeplitz;
Norm Estimates for Toeplitz Operators on the Bergman Space with Symbols Supported in Circles and Mixed Norms
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DOI: 10.1007/s11785-016-0539-2
Abstract: In this paper we study the class of Toeplitz operators $$T_{\varphi }$$Tφ, for which $$\int _{0}^{1}\left( 1-t\right) ^{q-1}\left\| T_{\varphi d\sigma _{t}}\right\| _{p}^{q}dt read more here.
Keywords: norm estimates; operators bergman; bergman space; toeplitz operators ... See more keywords
Rank of Truncated Toeplitz Operators
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DOI: 10.1007/s11785-016-0571-2
Abstract: We establish concrete rank formulas for a class of finite rank truncated Toeplitz operators on the model spaces $$K^2_u:= H^2 \ominus uH^2$$Ku2:=H2⊖uH2 in terms of their symbol functions. We also establish some rank inequalities for… read more here.
Keywords: rank truncated; toeplitz operators; truncated toeplitz;
Closed Range Type Properties of Toeplitz Operators on the Bergman Space and the Berezin Transform
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DOI: 10.1007/s11785-019-00949-4
Abstract: We characterize the multiplication operators with closed range on the Bergman space in terms of the Berezin transform, and apply this characterization to finite products of interpolating Blaschke products. We give some necessary and some… read more here.
Keywords: closed range; bergman space; toeplitz operators; berezin transform ... See more keywords
Reducing Subspaces of Analytic Toeplitz Operators on the Bergman Space of the Annulus
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DOI: 10.1007/s11785-019-00957-4
Abstract: Let $$\mathbb {A}_{r}$$ be the annulus $$\{z\mid \,|z| read more here.
Keywords: subspaces analytic; toeplitz; reducing subspaces; bergman space ... See more keywords
Toeplitz Operators Associated with Measures and the Dixmier Trace on the Hardy Space
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DOI: 10.1007/s11785-020-00988-2
Abstract: Let $$\mu $$ μ be a regular Borel measure on the open unit ball B in $$\mathbf{C}^n$$ C n . By a natural formula, it gives rise to a Toeplitz operator $$T_\mu $$ T μ… read more here.
Keywords: dixmier trace; hardy space; toeplitz operators;
Algebraic Properties of Toeplitz Operators on the Symmetrized Polydisk
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DOI: 10.1007/s11785-021-01108-4
Abstract: This paper is an effort to continue the legacy of the classically successful theory of Toeplitz operators on the Hardy space over the unit disk to a new domain in $${\mathbb {C}}^d$$ C d —the… read more here.
Keywords: symmetrized polydisk; algebraic properties; toeplitz; properties toeplitz ... See more keywords