Spectrum of weighted composition operators part X: the spectrum and essential spectra of weighted automorphisms of the polydisc algebra

IF 0.8 3区数学 Q2 MATHEMATICS

Positivity Pub Date : 2024-07-29 DOI:10.1007/s11117-024-01069-w

Arkady Kitover, Mehmet Orhon

引用次数: 0

Abstract

We investigate the spectrum and the essential spectra of weighted automorphisms of the polydisc algebra \(\mathbb {A}^n\). In the case \(n=2\) we provide a detailed and, in most cases, complete description of these spectra.

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加权合成算子谱第 X 部分：多圆盘代数的加权自动形的谱和本质谱

我们研究了多圆盘代数（\mathbb {A}^n\）的加权自动形的谱和本质谱。在 \(n=2\) 的情况下，我们提供了这些谱的详细描述，而且在大多数情况下是完整的描述。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Positivity 数学-数学

CiteScore

1.80

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The purpose of Positivity is to provide an outlet for high quality original research in all areas of analysis and its applications to other disciplines having a clear and substantive link to the general theme of positivity. Specifically, articles that illustrate applications of positivity to other disciplines - including but not limited to - economics, engineering, life sciences, physics and statistical decision theory are welcome. The scope of Positivity is to publish original papers in all areas of mathematics and its applications that are influenced by positivity concepts.