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Dynamics of generalized hyperbolic linear operators

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Abstract It is introduced an open class of linear operators on Banach spaces such that their non-wandering set is an infinite dimensional topologically mixing subspace, where the periodic points are… Click to show full abstract

Abstract It is introduced an open class of linear operators on Banach spaces such that their non-wandering set is an infinite dimensional topologically mixing subspace, where the periodic points are dense (in particular, they are frequently hypercyclic on the non-wandering set when the Banach space is separable). It is also characterized when the non-wandering set coincides with the whole space.

Keywords: wandering set; generalized hyperbolic; linear operators; non wandering; hyperbolic linear; dynamics generalized

Journal Title: Advances in Mathematics
Year Published: 2021

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