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Chain recurrence and average shadowing in dynamics

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dc.contributor.authorAlves, Fabricio F.
dc.contributor.authorBernardes, Nilson C.
dc.contributor.authorMessaoudi, Ali [UNESP]
dc.contributor.institutionCiência e Tecnologia de São Paulo
dc.contributor.institutionUniversidade Federal do Rio de Janeiro (UFRJ)
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-05-01T08:45:02Z
dc.date.available2022-05-01T08:45:02Z
dc.date.issued2021-01-01
dc.description.abstractWe 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.en
dc.description.affiliationInstituto Federal de Educação Ciência e Tecnologia de São Paulo Campus Presidente Epitácio, Rua José Ramos Junior, 27-50
dc.description.affiliationDepartamento de Matemática Aplicada Instituto de Matemática Universidade Federal do Rio de Janeiro, Caixa Postal 68530
dc.description.affiliationDepartamento de Matemática Universidade Estadual Paulista, Rua Cristóvão Colombo, 2265, Jardim Nazareth
dc.description.affiliationUnespDepartamento de Matemática Universidade Estadual Paulista, Rua Cristóvão Colombo, 2265, Jardim Nazareth
dc.identifierhttp://dx.doi.org/10.1007/s00605-021-01617-6
dc.identifier.citationMonatshefte fur Mathematik.
dc.identifier.doi10.1007/s00605-021-01617-6
dc.identifier.issn0026-9255
dc.identifier.scopus2-s2.0-85114226669
dc.identifier.urihttp://hdl.handle.net/11449/233473
dc.language.isoeng
dc.relation.ispartofMonatshefte fur Mathematik
dc.sourceScopus
dc.subjectChain recurrence
dc.subjectLinear operators
dc.subjectPseudotrajectories
dc.subjectShadowing properties
dc.subjectSpherical linear transformations
dc.subjectWeighted shifts
dc.titleChain recurrence and average shadowing in dynamicsen
dc.typeArtigo
dspace.entity.typePublication
unesp.author.orcid0000-0003-1883-7629[2]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas