Quasi-rigid operators and hyperrecurrence
Abstract
We study recurrent operators from a new perspective by introducing the notion of hyperrecurrent operators and establish robust connections with quasi-rigid operators. For example, we prove that a recurrent operator on a separable Banach space is quasi-rigid if and only if it is a linear factor of a hyperrecurrent operator, and show that the quasi-rigid operators found in Costakis, Manoussos and Parissis’s work, along with many others, are, in fact, hyperrecurrent operators.
Fields of Study & Subjects
Holomorphic and Operator Theory
Approximation Theory and Sequence Spaces
Advanced Topics in Algebra
Publication details
- Journal / source
- Studia Mathematica
- Publisher
- Institute of Mathematics, Polish Academy of Sciences
- Publication date
- 9 September 2026
- Language
- EN