Composition operators on the Bloch space of the unit ball of a Hilbert space
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Other documents of the author: Blasco de la Cruz, Oscar; Galindo Pastor, Pablo; Lindström, Mikael; Miralles Montolío, Alejandro
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comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
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Title
Composition operators on the Bloch space of the unit ball of a Hilbert spaceAuthor (s)
Date
2017Publisher
Duke University PressISSN
1735-8787Bibliographic citation
BLASCO, Oscar, et al. Composition Operators on the Bloch space of the Unit Ball of a Hilbert Space. Banach Journal of Mathematical Analysis, 2017, vol. 11, no 2, p. 311-334.Type
info:eu-repo/semantics/articlePublisher version
http://projecteuclid.org/euclid.bjma/1485572420Version
info:eu-repo/semantics/sumittedVersionAbstract
Every analytic self-map of the unit ball of a Hilbert space induces a bounded composition operator on the space of Bloch functions. Necessary and sufficient conditions for compactness of such composition operators are ... [+]
Every analytic self-map of the unit ball of a Hilbert space induces a bounded composition operator on the space of Bloch functions. Necessary and sufficient conditions for compactness of such composition operators are provided, as well as some examples that clarify the connections among such conditions. [-]
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Banach Journal of Mathematical Analysis, 2017, vol. 11, no 2Rights
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