非循环算子的表征

IUG Journal of Natural Studies Pub Date : 2021-01-01 DOI:10.33976/iugns.29.1/2021/4

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引用次数: 0

摘要

在本文中，我们讨论了与盘旋现象表征有关的一个有趣的想法。我们用圆盘循环准则描述了Γ-supe循环性的概念与圆盘循环性的概念重合的子集Γ。特别地，我们给出了子集Γ的完整描述。给出了子集Γ的充要条件。举例说明了这些算子的证明和不同类别之间的关系。

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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CHARACTERIZATION OF DISKCYCLIC OPERATORS

In this article we discuss an interesting idea related to characte rization of diskcyclicity phenomena. We use the Diskcyclic Crit erion to characterize the subsets Γ of ℂ for which the notion of Γ-supe rcyclicity coincides with the notion of diskcyclicity. In particular , we give a complete description of the subset Γ. The necessi ty and sufﬁciency conditions on the subset Γ were prese nted. Some examples were exhibited to illustrate the proofs and the relationship among different classes of the operators.

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IUG Journal of Natural Studies

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