关于 H2 上自联合加权合成算子平方根的备注

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-10-16 DOI:10.1016/j.jmaa.2024.128970

Sungeun Jung , Yoenha Kim , Eungil Ko

引用次数: 0

摘要

本文研究 H2 上自相加权合成算子的平方根。更确切地说，我们重点研究当φ 是 D 的线性分数自映射时，自相加算子 Wg,ψ=Wf,φ2 的平方根 Wf,φ。最后，我们证明了平方根 Wf,φ 可能是其他非自相交的加权合成算子，并且具有非难不变子空间。

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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Remark on square roots of self-adjoint weighted composition operators on H2

In this paper, we study square roots of self-adjoint weighted composition operators on

H^{2}

. More precisely, we focus on square roots

W_{f, φ}

of a self-adjoint operator

W_{g, ψ} = W_{f, φ}^{2}

when φ is a linear fractional selfmap of

D

. We also investigate several properties of such

W_{f, φ}

. Finally, we show that the square roots

W_{f, φ}

may be other, nonself-adjoint weighted composition operators and have nontrivial invariant subspaces.

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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.