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Hypercyclic composition operators on spaces of real analytic functions

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Hypercyclic composition operators on spaces of real analytic functions

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dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Domański, Paweł es_ES
dc.date.accessioned 2014-10-06T09:53:53Z
dc.date.available 2014-10-06T09:53:53Z
dc.date.issued 2012-11
dc.identifier.issn 0305-0041
dc.identifier.uri http://hdl.handle.net/10251/40660
dc.description The full article appears in Mathematical Proceedings of the Cambridge Philosophical Society. Volume 153, Issue 3 (2012) Pages 489-503 published by Cambridge University Press. Available at: http://dx.doi.org/10.1017/S0305004112000266 es_ES
dc.description.abstract We study the dynamical behaviour of composition operators C φ defined on spaces A(Ω) of real analytic functions on an open subset Ω of ℝ d. We characterize when such operators are topologically transitive, i.e. when for every pair of non-empty open sets there is an orbit intersecting both of them. Moreover, under mild assumptions on the composition operator, we investigate when it is sequentially hypercyclic, i.e., when it has a sequentially dense orbit. If φ is a self map on a simply connected complex neighbourhood U of ℝ, U ≠ ℂ, then topological transitivity, hypercyclicity and sequential hypercyclicity of C φ: A(ℝ) → A(ℝ) are equivalent. © 2012 Cambridge Philosophical Society. es_ES
dc.description.sponsorship Supported by National Center of Science, Poland, grant no. NN201 605340. en_EN
dc.language Inglés es_ES
dc.publisher Cambridge University Press es_ES
dc.relation.ispartof Mathematical Proceedings of the Cambridge Philosophical Society es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Composition operarators es_ES
dc.subject Hypercyclic operators es_ES
dc.subject Spaces of real analytic functions es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Hypercyclic composition operators on spaces of real analytic functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1017/S0305004112000266
dc.relation.projectID info:eu-repo/grantAgreement/NCN//N N201 605340/
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Bonet Solves, JA.; Domański, P. (2012). Hypercyclic composition operators on spaces of real analytic functions. Mathematical Proceedings of the Cambridge Philosophical Society. 153(3):489-503. https://doi.org/10.1017/S0305004112000266 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1017/S0305004112000266 es_ES
dc.description.upvformatpinicio 489 es_ES
dc.description.upvformatpfin 503 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 153 es_ES
dc.description.issue 3 es_ES
dc.relation.senia 235763
dc.identifier.eissn 1469-8064
dc.contributor.funder National Science Centre, Polonia
dc.description.references Kobayashi, S. (1998). Hyperbolic Complex Spaces. Grundlehren der mathematischen Wissenschaften. doi:10.1007/978-3-662-03582-5 es_ES
dc.description.references S. Zaj c. Hypercyclicity of composition operators in domains of holomorphy, preprint (2012). es_ES
dc.description.references Contreras, M. D., Díaz-Madrigal, S., & Pommerenke, C. (2007). Some remarks on the Abel equation in the unit disk. Journal of the London Mathematical Society, 75(3), 623-634. doi:10.1112/jlms/jdm013 es_ES
dc.description.references Domański, P., & Langenbruch, M. (2005). Coherent analytic sets and composition of real analytic functions. Journal für die reine und angewandte Mathematik (Crelles Journal), 2005(582), 41-59. doi:10.1515/crll.2005.2005.582.41 es_ES
dc.description.references Cowen, C. C., & Ko, E. (2010). Hermitian weighted composition operators on $H^{2}$. Transactions of the American Mathematical Society, 362(11), 5771-5771. doi:10.1090/s0002-9947-2010-05043-3 es_ES
dc.description.references Bernal-González, L. (2005). Universal entire functions for affine endomorphisms of <mml:math altimg=«si1.gif» overflow=«scroll» xmlns:xocs=«http://www.elsevier.com/xml/xocs/dtd» xmlns:xs=«http://www.w3.org/2001/XMLSchema» xmlns:xsi=«http://www.w3.org/2001/XMLSchema-instance» xmlns=«http://www.elsevier.com/xml/ja/dtd» xmlns:ja=«http://www.elsevier.com/xml/ja/dtd» xmlns:mml=«http://www.w3.org/1998/Math/MathML» xmlns:tb=«http://www.elsevier.com/xml/common/table/dtd» xmlns:sb=«http://www.elsevier.com/xml/common/struct-bib/dtd» xmlns:ce=«http://www.elsevier.com/xml/common/dtd» xmlns:xlink=«http://www.w3.org/1999/xlink» xmlns:cals=«http://www.elsevier.com/xml/common/cals/dtd»><mml:msup><mml:mi mathvariant=«double-struck»>C</mml:mi><mml:mi>N</mml:mi></mml:msup></mml:math>. Journal of Mathematical Analysis and Applications, 305(2), 690-697. doi:10.1016/j.jmaa.2004.12.031 es_ES
dc.description.references Domański, P. (2012). Notes on Real Analytic Functions and Classical Operators. Topics in Complex Analysis and Operator Theory, 3-47. doi:10.1090/conm/561/11108 es_ES
dc.description.references M. D. Contreras Iteración de funciones analíticas en el disco unidad. Preprint (Universidad de Sevilla, 2009). es_ES
dc.description.references S. Shkarin Existence theorems in linear chaos. arXiv:0810.1192v2. es_ES
dc.description.references Bonet, J., & Peris, A. (1998). Hypercyclic Operators on Non-normable Fréchet Spaces. Journal of Functional Analysis, 159(2), 587-595. doi:10.1006/jfan.1998.3315 es_ES
dc.description.references Bonet, J., & Domański, P. (2010). Power bounded composition operators on spaces of analytic functions. Collectanea mathematica, 62(1), 69-83. doi:10.1007/s13348-010-0005-9 es_ES
dc.description.references Guaraldo, F., Macrì, P., & Tancredi, A. (1986). Topics on Real Analytic Spaces. Advanced Lectures in Mathematics. doi:10.1007/978-3-322-84243-5 es_ES
dc.description.references Grosse-Erdmann, K.-G., & Mortini, R. (2009). Universal functions for composition operators with non-automorphic symbol. Journal d’Analyse Mathématique, 107(1), 355-376. doi:10.1007/s11854-009-0013-4 es_ES
dc.description.references Bayart, F., & Matheron, E. (2009). Dynamics of Linear Operators. doi:10.1017/cbo9780511581113 es_ES
dc.description.references Gonzalez, L. B., & Rodriguez, A. M. (1995). Non-Finite Dimensional Closed Vector Spaces of Universal Functions for Composition Operators. Journal of Approximation Theory, 82(3), 375-391. doi:10.1006/jath.1995.1086 es_ES
dc.description.references Grosse-Erdmann, K.-G. (1999). Universal families and hypercyclic operators. Bulletin of the American Mathematical Society, 36(03), 345-382. doi:10.1090/s0273-0979-99-00788-0 es_ES
dc.description.references Domański, P., Goliński, M., & Langenbruch, M. (2012). A note on composition operators on spaces of real analytic functions. Annales Polonici Mathematici, 103(2), 209-216. doi:10.4064/ap103-2-8 es_ES
dc.description.references Domański, P., & Vogt, D. (2000). The space of real-analytic functions has no basis. Studia Mathematica, 142(2), 187-200. doi:10.4064/sm-142-2-187-200 es_ES
dc.description.references Shapiro, J. H. (1993). Composition Operators and Classical Function Theory. doi:10.1007/978-1-4612-0887-7 es_ES
dc.description.references Vogt, D. (2010). Section spaces of real analytic vector bundles and a theorem of Grothendieck and Poly. Linear and Non-Linear Theory of Generalized Functions and its Applications. doi:10.4064/bc88-0-25 es_ES
dc.description.references Grosse-Erdmann, K.-G., & Peris Manguillot, A. (2011). Linear Chaos. Universitext. doi:10.1007/978-1-4471-2170-1 es_ES
dc.description.references J. H. Shapiro Notes on the dynamics of linear operators, Lecture notes, http://www.mth.msu.edu/~shapiro/Pubvit/Downloads/LinDynamics/LynDynamics.html es_ES


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