Topologies on spaces of vector-valued meromorphic functions

被引:3
|
作者
Jordá, E [1 ]
机构
[1] Univ Politecn Valencia, E Politecn Super Alcoy, Dept Matemat Aplicada, E-03801 Alcoy, Alicante, Spain
关键词
D O I
10.1017/S1446788700008089
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper presents two natural extensions of the topology of the space of scalar meromorphic functions M(Omega) described by Grosse-Erdmann in 1995 to spaces of vector-valued meromorphic functions M(Omega, E). When E is locally complete and does not contain copies of omega we compare these topologies with the topology induced by the representation M(Omega, E) similar or equal to M(Omega)epsilon E recently obtained by Bonet, Maestre and the author.
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页码:273 / 290
页数:18
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