Results 211 to 220 of about 18,154 (228)

Toeplitz Operators on the Fock Space

Integral Equations and Operator Theory, 2010
For positive parameter \(\alpha\), consider the measure \( d \lambda_{\alpha}(z)=\frac{\alpha}{\pi}e^{-\alpha|z|^{2}}dA(z) \) on the complex plane \(\mathbb C\), where \(dA(z)\) is the ordinary area measure. The Fock space \(F_{\alpha}^{2}\) is the subspace (with inherited norm) of all entire functions in \(L^{2}({\mathbb C},d\lambda_{\alpha})\).
Isralowitz, Josh, Zhu, Kehe
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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
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On Quasisimilarity for Analytic Toeplitz Operators

Canadian Mathematical Bulletin, 1988
AbstractLet f be a function in H∞. We show that if f is inner or if the commutant of the analytic Toeplitz operator Tf is equal to that of Tb for some finite Blaschke product b, then any analytic Toeplitz operator quasisimilar to Tf is unitarily equivalent to Tf.
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On Toeplitz Operators and Similarity

American Journal of Mathematics, 1978
Clark, Douglas N., Morrel, Judith H.
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When is a Function of a Toeplitz Operator Close to a Toeplitz Operator?

1989
In this paper we consider conditions under which the operator f(Tα) - T f·α belongs to the Schatten — von Heumann class Sp and in particular conditions when f(Tα) - T f·α is of trace class. Here Tα is a Toeplitz operator which is defined for bounded α on the Hardy class H2 by $$ {T_\varphi }f = {\mathbb{P}_ + }\varphi f $$ (1) , where P+ is ...
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Asymptotic Toeplitz Operators

Transactions of the American Mathematical Society, 1982
Barria, Jose, Halmos, P. R.
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Toeplitz Operators and Toeplitz C*-Algebras

1996
In 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.
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Local Toeplitz Operators

Proceedings of the London Mathematical Society, 1978
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Toeplitz Operators

1974
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Toeplitz operators

2016
Emmanuel Fricain, Javad Mashreghi
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