Dirichlet级数Hilbert空间上复合算子的紧线性组合

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-05 DOI:10.1007/s43037-023-00314-w

Maofa Wang, Zhongbing Xie

引用次数: 0

摘要

研究了狄利克雷级数Hilbert空间上由线性符号诱导的两个复合算子的线性组合。基于部分再现核，我们得到了单个复合算子紧性的等价描述，并描述了复合算子的紧线性组合。

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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Compact linear combinations of composition operators on Hilbert spaces of Dirichlet series

We study linear combinations of two composition operators induced by linear symbols on the Hilbert space of Dirichlet series. Based on partial reproducing kernels, we obtain an equivalent inscription of the compactness of a single composition operator and describe the compact linear combinations of composition operators.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.