The double transpose of the Ruelle operator

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade de Brasília-
Autor(es): dc.contributorJohann Bernoulli Instituut, Rijksuniversiteit Groningen, Nijenborgh 9, 9747 AG Groningen, The Netherlands-
Autor(es): dc.contributorUniversidade de Brasília-
Autor(es): dc.creatorCioletti, Leandro Martins-
Autor(es): dc.creatorEnter, A. van-
Autor(es): dc.creatorRuviaro, Ricardo-
Data de aceite: dc.date.accessioned2024-10-23T16:23:53Z-
Data de disponibilização: dc.date.available2024-10-23T16:23:53Z-
Data de envio: dc.date.issued2024-01-02-
Data de envio: dc.date.issued2024-01-02-
Data de envio: dc.date.issued2023-01-02-
Fonte completa do material: dc.identifierhttp://repositorio2.unb.br/jspui/handle/10482/47152-
Fonte completa do material: dc.identifierhttps://doi.org/10.1007/s00605-022-01818-7-
Fonte completa do material: dc.identifierhttps://orcid.org/0000-0002-8131-2043-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/907427-
Descrição: dc.descriptionIn this paper we study the double transpose of the L1(X, B(X), ν)-extensions of the Ruelle transfer operator L f associated to a general real continuous potential f ∈ C(X), where X = EN, the alphabet E is any compact metric space and ν is a maximal eigenmeasure. For this operator, denoted by L∗∗ f , we prove the existence of some non negative eigenfunction, in the Banach lattice sense, associated to ρ(L f ), the spectral radius of the Ruelle operator acting on C(X). As an application, we obtain a sufficient condition ensuring that the extension of the Ruelle operator to L1(X, B(X), ν) has an eigenfunction associated to ρ(L f ). These eigenfunctions agree with the usual maximal eigenfunctions, when the potential f belongs to the Hölder,Walters or Bowen class. We also construct solutions to the classical and generalized variational problem, using the eigenvector constructed here.-
Descrição: dc.descriptionInstituto de Ciências Exatas (IE)-
Descrição: dc.descriptionDepartamento de Matemática (IE MAT)-
Idioma: dc.languageen-
Publicador: dc.publisherSpringer-
Relação: dc.relationhttps://link.springer.com/article/10.1007/s00605-022-01818-7-
Direitos: dc.rightsAcesso Restrito-
Palavras-chave: dc.subjectOperador de Ruelle-
Palavras-chave: dc.subjectTeoria Ergódica-
Título: dc.titleThe double transpose of the Ruelle operator-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional – UNB

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