ENTIRE-FUNCTIONS OF BOUNDED TYPE ON FRECHET SPACES

被引:18
|
作者
GALINDO, P
GARCIA, D
MAESTRE, M
机构
[1] Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Valencia, Valencia, 46100
关键词
D O I
10.1002/mana.19931610113
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that holomorphic mappings of bounded type defined on Frechet spaces extend to the bidual. The relationship between holomorphic mappings of bounded type and of uniformly bounded type is discussed and some algebraic and topological properties of the space of all entire mappings of (uniformly) bounded type are proved, for example a holomorphic version of Schauder's theorem.
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页码:185 / 198
页数:14
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