Banach algebra generated by a finite number of bergman polykernel operators, continuous coefficients, and a finite group of shifts

被引：0

作者：

Mozel' V.A. ^{[1
]}

机构：

[1] Hydroacoustics Division of the Marine Hydrophysical Institute, Ukrainian National Academy of Sciences, Odessa

来源：

Ukrainian Mathematical Journal | 2011年 / 62卷 / 9期

关键词：

Toeplitz Operator; Singular Integral Operator; Fredholm Operator; Finite Order; Linear Fractional Transformation;

D O I：

10.1007/s11253-011-0441-z

中图分类号：

学科分类号：

摘要：

We study the Banach algebra generated by a finite number of Bergman polykernel operators with continuous coefficients that is extended by operators of weighted shift that form a finite group. By using an isometric transformation, we represent the operators of the algebra in the form of a matrix operator formed by a finite number of mutually complementary projectors whose coefficients are Toeplitz matrix functions of finite order. Using properties of Bergman polykernel operators, we obtain an efficient criterion for the operators of the algebra considered to be Fredholm operators. © 2011 Springer Science+Business Media, Inc.

引用

页码：1449 / 1459

页数：10

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