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Topologies on spaces of vector-valued meromorphic functions
Published online by Cambridge University Press: 09 April 2009
Abstract
This paper presents two natural extensions of the topology of the space of scalar meromorphic functions M(Ω) described by Grosse-Erdmann in 1995 to spaces of vector-valued meromorphic functions M(ΩE). When E is locally complete and does not contain copies of ω we compare these topologies with the topology induced by the representation M (Ω, E) ≃ M(Ω)ε E recently obtained by Bonet, Maestre and the author.
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- Research Article
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- Copyright © Australian Mathematical Society 2005
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