Disjoint subspace-hypercyclic operators on separable Banach spaces

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2024-03-14 DOI:10.1007/s43034-024-00322-3

Renyu Chen, Xiang Chen, Zehua Zhou

引用次数: 0

Abstract

In this paper, we initially introduce the concept of disjoint subspace-hypercyclic operators and illustrate that disjoint subspace-hypercyclic operators differ from disjoint hypercyclic operators. Furthermore, we obtain two different criteria for disjoint subspace-hypercyclic operators. Finally, we discover an equivalent condition regarding the bilateral forward weighted shift operators’ disjoint subspace-transitivity on \(c_{0}(\mathbb {Z})\) or \(l^{p}(\mathbb {Z})\) in a certain special case.

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可分离巴拿赫空间上的不相交子空间超循环算子

在本文中，我们首先介绍了不相交子空间-超循环算子的概念，并说明了不相交子空间-超循环算子与不相交超循环算子的区别。此外，我们还得到了两种不同的不相交子空间-超循环算子的判据。最后，我们发现在某种特殊情况下，关于双边前向加权移位算子在 \(c_{0}(\mathbb {Z})\)或 \(l^{p}(\mathbb {Z})\)上的不相交子空间传递性的等价条件。

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

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.