Hypercyclic Generalized Shift Operators
Stefan Ivkovic, Seyyed Mohammad Tabatabaie
TL;DR
This paper investigates the dynamical behavior of shift operators on Segal algebras and characterizes hypercyclic generalized bilateral shift operators on Hilbert modules, expanding understanding of their linear dynamics.
Contribution
It provides a new characterization of hypercyclicity for generalized bilateral shift operators on Hilbert modules, a topic not extensively covered before.
Findings
Characterization of hypercyclic generalized bilateral shift operators.
Analysis of shift operators on Segal algebras.
Conditions for hypercyclicity established.
Abstract
In this paper, we study the linear dynamical properties of shift operators on some classes of Segal algebras. Moreover, we characterize hypercyclic generalized bilateral shift operators on the standard Hilbert module.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Advanced Operator Algebra Research