Artículos de revistas
Chain recurrence and average shadowing in dynamics
Fecha
2021-01-01Registro en:
Monatshefte fur Mathematik.
0026-9255
10.1007/s00605-021-01617-6
2-s2.0-85114226669
Autor
Ciência e Tecnologia de São Paulo
Universidade Federal do Rio de Janeiro (UFRJ)
Universidade Estadual Paulista (UNESP)
Institución
Resumen
We investigate several notions related to pseudotrajectories, including chain recurrence and shadowing properties, for a special class of diffeomorphisms on euclidean spheres, known as spherical linear transformations, and for bounded linear operators on Banach spaces. Our main results are complete characterizations of chain recurrence for spherical linear transformations on euclidean spheres and for weighted shifts on the classical Banach sequence spaces c and ℓp. Another main result is a characterization of hyperbolicity for invertible operators on Banach spaces by means of average expansivity and the average shadowing property.