The double transpose of the Ruelle operator

Cioletti, Leandro Martins; Enter, A. van; Ruviaro, Ricardo

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Campo DC	Valor	Idioma
dc.contributor.author	Cioletti, Leandro Martins	-
dc.contributor.author	Enter, A. van	-
dc.contributor.author	Ruviaro, Ricardo	-
dc.date.accessioned	2024-01-03T13:33:13Z	-
dc.date.available	2024-01-03T13:33:13Z	-
dc.date.issued	2023-01-03	-
dc.identifier.citation	CIOLETTI, L.; ENTER, A. van; RUVIARO, R. The double transpose of the Ruelle operator. Monatshefte für Mathematik, 2023. DOI: https://doi.org/10.1007/s00605-022-01818-7.	pt_BR
dc.identifier.uri	http://repositorio2.unb.br/jspui/handle/10482/47152	-
dc.language.iso	eng	pt_BR
dc.publisher	Springer	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	The double transpose of the Ruelle operator	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Operador de Ruelle	pt_BR
dc.subject.keyword	Teoria Ergódica	pt_BR
dc.identifier.doi	https://doi.org/10.1007/s00605-022-01818-7	pt_BR
dc.relation.publisherversion	https://link.springer.com/article/10.1007/s00605-022-01818-7	pt_BR
dc.description.abstract1	In 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.	pt_BR
dc.identifier.orcid	https://orcid.org/0000-0002-8131-2043	pt_BR
dc.contributor.affiliation	Universidade de Brasília	pt_BR
dc.contributor.affiliation	Johann Bernoulli Instituut, Rijksuniversiteit Groningen, Nijenborgh 9, 9747 AG Groningen, The Netherlands	pt_BR
dc.contributor.affiliation	Universidade de Brasília	pt_BR
dc.description.unidade	Instituto de Ciências Exatas (IE)	pt_BR
dc.description.unidade	Departamento de Matemática (IE MAT)	pt_BR
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