Results 191 to 200 of about 3,406 (215)
Some of the next articles are maybe not open access.
Essentially commuting Toeplitz operators
Pacific Journal of Mathematics, 1999zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gorkin, Pamela, Zheng, Dechao
openaire +2 more sources
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
openaire +3 more sources
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
openaire +2 more sources
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
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
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
openaire +2 more sources
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
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
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
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
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
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
Toeplitz Operators and Toeplitz C*-Algebras
1996In this chapter we develop a structure theory for multi-variable Toeplitz operators, using the Toeplitz C*-algebra generated by these operators and its representation theory.
openaire +1 more source
2018
As before, let \((M, \omega )\) be a prequantizable, compact, connected Kahler manifold, let \(L \rightarrow M\) be a prequantum line bundle, and let \(\mathcal {H}_k\) be the associated Hilbert spaces. Let \(L^2(M, L^k)\) be the completion of the space of smooth sections of \(L^k \rightarrow M\) with respect to the inner product \(\langle \,\cdot ...
openaire +1 more source
As before, let \((M, \omega )\) be a prequantizable, compact, connected Kahler manifold, let \(L \rightarrow M\) be a prequantum line bundle, and let \(\mathcal {H}_k\) be the associated Hilbert spaces. Let \(L^2(M, L^k)\) be the completion of the space of smooth sections of \(L^k \rightarrow M\) with respect to the inner product \(\langle \,\cdot ...
openaire +1 more source