On Subspace-recurrent Operators

IF 0.7 Q2 MATHEMATICS

Tamkang Journal of Mathematics Pub Date : 2021-02-26 DOI:10.5556/J.TKJM.53.2022.3579

M. Moosapoor

引用次数: 1

Abstract

In this article, subspace-recurrent operators are presented and it is showed that the set of subspace-transitive operators is a strict subset of the set of subspace-recurrent operators. We demonstrate that despite subspace-transitive operators and subspace-hypercyclic operators, subspace-recurrent operators exist on finite dimensional spaces. We establish that operators that have a dense set of periodic points are subspace-recurrent. Especially, if T is an invertible chaotic or an invertible subspace-chaotic operator, then T, T−n and λT are subspace-recurrent for any positive integer n and any scalar λ with absolute value 1. Also, we state a subspace-recurrence criterion.

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关于子空间循环算子

本文给出了子空间递归算子，并证明了子空间传递算子集是子空间递归算子集的严格子集。证明了有限维空间上存在子空间递迁算子和子空间超循环算子。我们建立了具有密集周期点集合的算子是子空间循环的。特别地，如果T是可逆混沌算子或可逆子空间混沌算子，则T、T−n和λT对任意正整数n和绝对值为1的标量λ都是子空间循环算子。同时，给出了子空间递归准则。

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

Tamkang Journal of Mathematics MATHEMATICS-

CiteScore

1.50

自引率

0.00%

发文量

期刊介绍： To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.