Hypercyclicity and Linear Dynamics
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".
Deadline for manuscript submissions: closed (30 March 2024) | Viewed by 1244
Special Issue Editor
Interests: operator theory; functional analysis; abstract harmonic analysis
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Hypercyclicity has been studied intensely during the last five decades. Indeed, the first example of hypercyclicity on Banach spaces was given by Prof. Rolewicz in 1969. Since then, numerous significant theories and concrete interesting examples in this very active subject were established. Hypercyclicity arises from the invariant subset problem in operator theory for bounded linear operators, which is related to some study of linear dynamical systems and topological dynamics. Hence in this special issue, we except to collect research papers including the most recent progress, concerns and questions in this direction.
Therefore, we cordially invite researchers to contribute their original and significant research papers which will inspire advances in hypercyclicity, linear dynamics and their applications. The topics of the special issue include but are not limited to:
- Hypercyclicity
- Frequent hypercyclicity
- Subspace hypercyclicity
- Cyclicity
- Supercyclicity
- Convex cyclicity
- Topological transitivity
- Topological mixing
- Recurrence
- Topologically multiple recurrence
- Disjoint hypercyclicity
- Disjoint topological transitivity
- Disjoint topological mixing
- Devaney chaos
- Li-Yorke chaos
- Distributional chaos
Prof. Dr. Chung-Chuan Chen
Guest Editor
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Keywords
- hypercyclicity
- linear dynamics
- linear chaos
- linear operators
- applications
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