Bernardes-Junior, Nilson Da Costa; Caraballo, Blas M.; Darji, Udayan B.; Fávaro, Vinicius V.; Peris Manguillot, Alfredo(Elsevier, 2025-01-15)
[EN] We introduce and study the notions of (generalized) hyperbolicity, topological stability and (uniform) topological expansivity for operators on locally convex spaces. We prove that every generalized hyperbolic operator ...
[EN] In the present work we study the concepts of shadowing and chain recurrence in the setting of linear dynamics. We prove that shadowing and finite shadowing always coincide for operators on Banach spaces, but we exhibit ...