[HTML][HTML] Hypercyclicity of operators that λ-commute with the differentiation operator on the space of entire functions

IFZ Bensaid, M González, F León-Saavedra… - Journal of Functional …, 2022 - Elsevier
An operator T acting on a separable F-space X is called hypercyclic if there exists f∈ X such
that the orbit {T nf} is dense in X. Here we determine when an operator that λ-commutes with …

Some Questions Related to Extended Eigenvalues and Extended Eigenoperators

M Lacruz, F León-Saavedra… - Operator Theory and …, 2021 - Springer
We survey some results that were originated studying extended eigenvalues of bounded
linear operators and their corresponding extended eigenoperators. We cover some aspects …