Abstract

In this article, we will discuss disjoint diskcyclicity for finitely many operators acting on a separable, infinite dimensional Fréchet space X. More precisely, we provide disjoint disk blow-up/collapse property and disjoint diskcyclicity criterion. In addition, we characterize the disjoint diskcyclicity for weighted shifts both in the bilateral and unilateral cases.

Details

Title
Disjoint diskcyclicity of weighted shifts
Author
Wang, Cui 1 ; Zhou, Ze-Hua 2 ; Zhang, Liang 3 

 College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, P. R. China 
 Department of Mathematics, Tianjin University, Tianjin 300350, P. R. China 
 School of Marine Science and Technology, Tianjin University, Tianjin 300072, P. R. China 
Pages
820-828
Publication year
2022
Publication date
2022
Publisher
De Gruyter Poland
e-ISSN
23915455
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2707667313
Copyright
© 2022. This work is published under http://creativecommons.org/licenses/by/4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.