树的哈代空间的前移和后移

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2024-05-24 DOI:10.1007/s13324-024-00931-0

Adán Ángeles-Romero, Rubén A. Martínez-Avendaño

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引用次数: 0

摘要

在本文中，我们开始研究树的离散广义哈代空间和树的离散广义小哈代空间上的前移和后移。具体而言，我们研究了这些移动何时是有界的，如果移动是有界的，我们会找到移动的规范，描述了它们是等距的树的特征，计算了一些具体例子中的谱，并完全确定了它们何时是超循环的。

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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The forward and backward shift on the Hardy space of a tree

In this paper we initiate the study of the forward and backward shifts on the discrete generalized Hardy space of a tree and the discrete generalized little Hardy space of a tree. In particular, we investigate when these shifts are bounded, find the norm of the shifts if they are bounded, characterize the trees in which they are an isometry, compute the spectrum in some concrete examples, and completely determine when they are hypercyclic.

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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.

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