Dynamics of generalized hyperbolic linear operators

Autor(es)

Cirilo, Patricia ^[1] ; Gollobit, Bryce ^[2] ; Pujals, Enrique ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Sao Paulo, Sao Paulo - Brazil

^[2] CUNY, Grad Ctr, New York, NY - USA

• Tipo de documento: Artigo Científico
• Fonte: ADVANCES IN MATHEMATICS; v. 387, AUG 27 2021.
• Citações Web of Science: 1

Resumo

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. (c) 2021 Published by Elsevier Inc. (AU)

• Processo FAPESP: 19/10269-3 - Teorias ergódica e qualitativa dos sistemas dinâmicos II
• Beneficiário: Claudio Aguinaldo Buzzi
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 19/09045-3 - Geometria e dinâmica entre São Paulo e Nova Iorque
• Beneficiário: Paolo Piccione
• Modalidade de apoio: Auxílio à Pesquisa - Regular