Results 171 to 180 of about 1,150,129 (227)

A class of complex symmetric Toeplitz operators on Hardy and Bergman spaces

, 2020
An operator T ∈ B ( H ) is complex symmetric if there exists a conjugation C on H so that C T C = T ⁎ . In this paper, we characterize the complex symmetric Toeplitz operator on the Hardy and Bergman space.
Ran Li, Yixin Yang, Yufeng Lu
semanticscholar   +1 more source

Operator theory in function spaces

, 1990
Bounded 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
semanticscholar   +1 more source

Rank of Truncated Toeplitz Operators

Complex Analysis and Operator Theory, 2016
A 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
openaire   +2 more sources

A NOTE ON TOEPLITZ OPERATORS

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
openaire   +1 more source

A Few Remarks on the Operator Norm of Random Toeplitz Matrices

, 2008
We 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
semanticscholar   +1 more source

Analytic Continuation of Toeplitz Operators

The Journal of Geometric Analysis, 2014
Let \(f(z)=\sum_\nu f_\nu z^\nu\) 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., Engliš, M. (Miroslav), Youssfi, E.-H.   +2 more
openaire   +2 more sources

Block Toeplitz Operators

1993
The first three sections of this chapter have an introductory character. Section 2 contains a short introduction to Laurent operators. In Section 3 the first properties of block Toeplitz operators are derived. Sections 4 and 5 develop the Fredholm theory of block Toeplitz operators defined by continuous functions.
I. Gohberg, M. A. Kaashoek, S. Goldberg
openaire   +1 more source

Unbounded Toeplitz Operators

Integral Equations and Operator Theory, 2008
This partly expository article develops the basic theory of unbounded Toeplitz operators on the Hardy space H2, with emphasis on operators whose symbols are not square integrable. Unbounded truncated Toeplitz operators on coinvariant subspaces of H2 are also studied.
openaire   +1 more source

Toeplitz-Like Operators

1984
We are going to show in this part that some of the results presented in Part I can be extended to other classes of matrices and operators. In the infinite-dimensional case we make use of some well-known facts from the theory of Fredholm operators we shall collect in Section 0.
Georg Heinig, Karla Rost
openaire   +1 more source

Algebras of Toeplitz Operator on the Three-Dimensional Siegel Domain

Integral equations and operator theory, 2018
A. Sánchez-Nungaray, N. Vasilevski
semanticscholar   +1 more source