Results 181 to 190 of about 1,173,022 (231)
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On computing the spectral radius of the Hankel plus Toeplitz operator
IEEE Transactions on Automatic Control, 1988J. Juang, E. Jonckheere
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2023
AbstractThis chapter surveys Toeplitz operators Tφ : H2 → H2, Tφf = P + (φf), on the Hardy space H2, where φ ∈ L∞(T) and P+ is the orthogonal projection of L2(T) onto H2. We examine the matrix representations of these operators, their spectral properties, and a characterization of them related to the unilateral shift.
Stephan Ramon Garcia +2 more
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AbstractThis chapter surveys Toeplitz operators Tφ : H2 → H2, Tφf = P + (φf), on the Hardy space H2, where φ ∈ L∞(T) and P+ is the orthogonal projection of L2(T) onto H2. We examine the matrix representations of these operators, their spectral properties, and a characterization of them related to the unilateral shift.
Stephan Ramon Garcia +2 more
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Essentially commuting Toeplitz operators
Pacific Journal of Mathematics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gorkin, Pamela, Zheng, Dechao
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Toeplitz Operators on Dirichlet Spaces
Acta Mathematica Sinica, English Series, 2001Let \(B_n\) be the unit ball in \(\mathbb{C}^n\) and \(\mathcal{D}\) the Dirichlet space, that is, the subspace of analytic functions in the Sobolev space with the norm \[ \left[\sum_{i=1}^n\int_{B_n}\left(\left|\frac{\partial f}{\partial z_i}(z)^2+ \frac{\partial f}{\partial \overline{z_i}}(z)^2 \right|\right) dv\right]^\frac{1}{2}.
Lu, Yu Feng, Sun, Shun Hua
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Operator theory in function spaces
, 1990Bounded linear operators Interpolation of Banach spaces Integral operators on $L^p$ spaces Bergman spaces Bloch and Besov spaces The Berezin transform Toeplitz operators on the Bergman space Hankel operators on the Bergman space Hardy spaces and BMO ...
Kehe Zhu
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Rank of Truncated Toeplitz Operators
Complex Analysis and Operator Theory, 2016A Toeplitz operator \(T_\phi\) with symbol \(\phi\in L^\infty\) is a map between Hardy spaces \(H^2\ni f\mapsto P(\phi f)\in H^2\), where \(P\) is the orthogonal projection onto \(H^2\). Recall that \(T_{\overline{f}g}=T_{\overline{f}}T_g\) for \(f,g\in H^\infty\).
Gu, Caixing, Kang, Dong-O
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International Journal of Mathematics, 1996
We study Toeplitz operators on Bergman spaces using techniques from the analysis of Dirac-type operators on complete Riemannian manifolds, and prove an index theorem of Boutet de Monvel from this point of view. Our approach is similar to that of Baum and Douglas [2], but we replace boundary value theory for the Dolbeaut operator with much simpler ...
Guentner, Erik, Higson, Nigel
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We study Toeplitz operators on Bergman spaces using techniques from the analysis of Dirac-type operators on complete Riemannian manifolds, and prove an index theorem of Boutet de Monvel from this point of view. Our approach is similar to that of Baum and Douglas [2], but we replace boundary value theory for the Dolbeaut operator with much simpler ...
Guentner, Erik, Higson, Nigel
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A Few Remarks on the Operator Norm of Random Toeplitz Matrices
, 2008We present some results concerning the almost sure behavior of the operator norm of random Toeplitz matrices, including the law of large numbers for the norm, normalized by its expectation (in the i.i.d. case).
Radosław Adamczak
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Analytic Continuation of Toeplitz Operators
The Journal of Geometric Analysis, 2014Let \(f(z)=\sum_\nu f_\nu z^\nu\) be a holomorphic function on the unit ball \({\mathbb B}^n\) in \({\mathbb C}^n\). For \(\alpha\in{\mathbb R}\), \textit{R.-H. Zhao} and \textit{K. Zhu} [Mém. Soc. Math. Fr., Nouv. Sér. 115, 1--103 (2008; Zbl 1176.32001)] considered \(\|f\|_{\alpha,\#}^2:=\sum_\nu\frac{\nu!}{|\nu|!}\frac{|f_\nu|^2}{(|\nu|+1)^{\alpha+n}}
Bommier-Hato, H. +2 more
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