Common hypercyclic vectors for composition operators
Frederic Bayart
TL;DR
This paper investigates the conditions under which multiple composition operators share a common hypercyclic vector, contributing to the understanding of operator dynamics in functional analysis.
Contribution
It introduces new criteria for the existence of common hypercyclic vectors across various families of composition operators.
Findings
Identifies specific conditions for common hypercyclicity
Provides examples of composition operators with shared hypercyclic vectors
Advances the theory of operator hypercyclicity
Abstract
We study the existence of a common hypercyclic vector for different families of composition operators.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Matrix Theory and Algorithms