On Chaotic and Frequently Hypercyclic Properties of Classical Operators in the Weighted Space of Entire Functions

We study the issues of chaoticity and frequently hypercyclicity of various operators in the weighted space of entire functions, defined as the projective limit of Banach spaces. Theorems 4–8 consider the cases of differentiation and shift operators, as well as their compositions in this space. For l...

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Bibliographic Details
Published in:	Lobachevskii journal of mathematics Vol. 46; no. 2; pp. 838 - 851
Main Author:	Rakhimova, A. I.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.02.2025 Springer Nature B.V
Subjects:	Algebra Analysis Banach spaces Commuting Differentiation Dynamical systems Entire functions Geometry Mathematical functions Mathematical Logic and Foundations Mathematics Mathematics and Statistics Operators (mathematics) Probability Theory and Stochastic Processes Theorems weighted space differentiation operator shift operator entire functions chaotic operator frequently hypercyclic operator 32C15
ISSN:	1995-0802, 1818-9962
Online Access:	Get full text
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