Generalized hyperbolicity for linear operators

Abstract

It is introduced an open class of linear operators on Banach and Hilbert spaces such that their non-wandering set is an infinite dimensional topologically mixing subspace. In certain cases, the non-wandering set coincides with the whole space.

References in corpus (1)

• Shadowing and structural stability in linear dynamical systems

Cited by in corpus (3)

• A generalized Grobman-Hartman theorem
• A generalized Grobman-Hartman theorem for nonautonomous dynamics
• Generalized Hyperbolicity and Shadowing in $L^p$ spaces