A note on supercyclic operators in locally convex spaces

2018/02/06 by Albanese, Angela A., Jornet, David
#46A04 #47A16 #47A35 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1802.02118

Abstract

We treat some questions related to supercyclicity of continuous linear operators when acting in locally convex spaces. We extend results of Ansari and Bourdon and consider doubly power bounded operators in this general setting. Some examples are given.

Related

• Supercyclic vectors of operators on normed linear spaces
• Dynamics of composition operators on function spaces defined by local and global properties
• Quasi-Nilpotent Operators on Locally Convex Spaces
• On supercyclic sets of operators
• Hypercyclic operators on countably dimensional spaces