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dc.contributor.author
Muro, Luis Santiago Miguel
dc.contributor.author
Pinasco, Damian
dc.contributor.author
Savransky, Martin
dc.date.available
2020-02-20T22:22:12Z
dc.date.issued
2018-12
dc.identifier.citation
Muro, Luis Santiago Miguel; Pinasco, Damian; Savransky, Martin; Dynamics of non-convolution operators and holomorphy types; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 468; 2; 12-2018; 622-641
dc.identifier.issn
0022-247X
dc.identifier.uri
http://hdl.handle.net/11336/98226
dc.description.abstract
In this article we study the hypercyclic behavior of non-convolution operators defined on spaces of analytic functions of different holomorphy types over Banach spaces. The operators in the family we analyze are a composition of differentiation and composition operators, and are extensions of operators in H(C) studied by Aron and Markose in 2004. The dynamics of this class of operators, in the context of one and several complex variables, was further investigated by many authors. It turns out that the situation is somewhat different and that some purely infinite dimensional difficulties appear. For example, in contrast to the several complex variable case, it may happen that the symbol of the composition operator has no fixed points and still, the operator is not hypercyclic. We also prove a Runge type theorem for holomorphy types on Banach spaces.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
COMPOSITION OPERATORS
dc.subject
DIFFERENTIATION OPERATORS
dc.subject
HOLOMORPHY TYPES
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HYPERCYCLIC OPERATORS
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NON-CONVOLUTION OPERATORS
dc.subject
STRONGLY MIXING OPERATORS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Dynamics of non-convolution operators and holomorphy types
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-02-18T16:14:59Z
dc.journal.volume
468
dc.journal.number
2
dc.journal.pagination
622-641
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Muro, Luis Santiago Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
dc.description.fil
Fil: Pinasco, Damian. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Torcuato Di Tella. Departamento de Matemáticas y Estadística; Argentina
dc.description.fil
Fil: Savransky, Martin. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
dc.journal.title
Journal of Mathematical Analysis and Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2018.08.017
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022247X18306814
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