Hypercyclic composition operators on Hv0-spaces
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http://dx.doi.org/10.1002/mana.201100191 |
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Title
Hypercyclic composition operators on Hv0-spacesDate
2013Publisher
John Wiley & SonsISSN
0025-584X; 1522-2616Bibliographic citation
MIRALLES, Alejandro; WOLF, Elke. Hypercyclic composition operators on Hv0‐spaces. Mathematische Nachrichten, 2013, vol. 286, no 1, p. 34-41.Type
info:eu-repo/semantics/articlePublisher version
http://onlinelibrary.wiley.com/doi/10.1002/mana.201100191/abstractVersion
info:eu-repo/semantics/publishedVersionSubject
Abstract
Weconsideranalyticself-mapsφonDandprovethatthecompositionoperatorCφ actingonHv0 ishypercyclic if φ is an automorphism or a hyperbolic non-automorphic symbol with no fixed point. We give examples of weights v and ... [+]
Weconsideranalyticself-mapsφonDandprovethatthecompositionoperatorCφ actingonHv0 ishypercyclic if φ is an automorphism or a hyperbolic non-automorphic symbol with no fixed point. We give examples of weights v and parabolic non-automorphisms φ on D which yield non-hypercyclic composition operators Cφ o n H v0 . [-]
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Mathematische Nachrichten (2013) vol. 286, no 1Rights
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