Dynamics of weighted composition operators on weighted Banach spaces of entire functions
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Título
Dynamics of weighted composition operators on weighted Banach spaces of entire functionsAutoría
Fecha de publicación
2020-07-22Editor
Elsevier; Academic PressISSN
0022-247XCita bibliográfica
BELTRÁN-MENEU, María J. Dynamics of weighted composition operators on weighted Banach spaces of entire functions. Journal of Mathematical Analysis and Applications, 2020, vol. 492, no 1, p. 124422.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/journal/journal-of-mathematical-analysis-and-appli ...Versión
info:eu-repo/semantics/acceptedVersionPalabras clave / Materias
Resumen
We study the dynamics of the weighted composition operator Cw,ϕ on the weighted
Banach spaces of entire functions Hv(C) and H0
v
(C). We characterize the continuity
and compactness of the operator and, in the case ... [+]
We study the dynamics of the weighted composition operator Cw,ϕ on the weighted
Banach spaces of entire functions Hv(C) and H0
v
(C). We characterize the continuity
and compactness of the operator and, in the case of affine symbols ϕ(z) = az+b, a, b ∈
C, and exponential weights, we analyze when the operator is power bounded, (uniformly) mean ergodic and hypercyclic. Continuous weighted composition operators
when |a| = 1 are just multiples of composition operators λCϕ λ ∈ C. When |a| < 1,
we consider as a multiplier w the product of a polynomial by an exponential function.
For multiples of composition operators, we get a complete characterization of power
boundedness and mean ergodicity and we study the hypercyclicity in terms of λ. An
example of a power bounded but not mean ergodic operator on H0
v
(C) is provided.
For the case of composition operators, we obtain the spectrum and a complete characterization of the dynamics. [-]
Publicado en
Journal of Mathematical Analysis and Applications Volume 492, Issue 1, 1 December 2020, 124422Proyecto de investigación
MTM2016-76647-PDerechos de acceso
© 2020 Elsevier Inc. All rights reserved.
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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