Commutation relations and hypercyclic operators
Vitaly E. Kim
TL;DR
This paper investigates the hypercyclicity of certain continuous linear operators on the space of entire functions, specifically those satisfying particular commutation relations, expanding understanding of operator dynamics.
Contribution
It establishes hypercyclicity for a class of operators on $H(\mathbb{C})$ that meet specific commutation conditions, a novel result in operator theory.
Findings
Identifies conditions under which operators are hypercyclic.
Demonstrates hypercyclicity for operators satisfying certain commutation relations.
Advances understanding of operator dynamics on function spaces.
Abstract
In this paper we establish hypercyclicity of continuous linear operators on that satisfy certain commutation relations.
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Taxonomy
TopicsHolomorphic and Operator Theory · Advanced Topics in Algebra · Algebraic and Geometric Analysis