ENTIRE-FUNCTIONS OF BOUNDED TYPE ON FRECHET SPACES

Authors
GALINDO P GARCIA D MAESTRE M
Citation
P. Galindo et al., ENTIRE-FUNCTIONS OF BOUNDED TYPE ON FRECHET SPACES, Mathematische Nachrichten, 161, 1993, pp. 185-198
Citations number
37
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
161
Year of publication
1993
Pages
185 - 198
Database
ISI
SICI code
0025-584X(1993)161:<185:EOBTOF>2.0.ZU;2-7
Abstract
We show that holomorphic mappings of bounded type defined on Frechet s paces extend to the bidual. The relationship between holomorphic mappi ngs of bounded type and of uniformly bounded type is discussed and som e algebraic and topological properties of the space of all entire mapp ings of (uniformly) bounded type are proved, for example a holomorphic version of Schauder's theorem.