Algebras Generated by Toeplitz Operators on the Hardy Space over the Siegel Domain

被引：0
作者：
Armando Sánchez-Nungaray
Nikolai Vasilevski
机构：
[1] Universidad Veracruzana,Facultad de Matemáticas
[2] CINVESTAV,Departamento de Matemáticas
来源：
Complex Analysis and Operator Theory | 2020年 / 14卷
关键词：
Toeplitz operator; C*-algebra; Bergman space; Siegel domain; Primary 47B35; Secondary 47L80; 32A36;
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摘要：
Following the approach of Loaiza and Vasilevski (Equ Oper Theory 92(3): 33, 2020, https://doi.org/10.1007/s00020-020-02580-x; “Operator Theory, Functional Analysis and Applications”, Oper Theory Adv Appl 28(2), 2020, to appear), we give two different representations of the Hardy space on the Siegel domain in terms of the Bergman space and terms of the direct integral of the weighted Fock spaces. Based on these representations we describe then various commutative and non-commutative C∗\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C^*$$\end{document}-algebras, which are generated by Toeplitz operators acting on the Hardy space over the Siegel domain.
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