Holomorphic mappings of bounded type (Q1191786)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Holomorphic mappings of bounded type |
scientific article; zbMATH DE number 62808
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Holomorphic mappings of bounded type |
scientific article; zbMATH DE number 62808 |
Statements
Holomorphic mappings of bounded type (English)
0 references
27 September 1992
0 references
Let \(E\) be a Banach space. It is proved, that the Fréchet space \({\mathcal H}_ b(E)\) is the strong dual of an (LB)-space, \({\mathcal P}_ b(E)\), which leads to a linearization of the holomorphic mappings of bounded type. Moreover, it is shown that the holomorphic functions defined on (DFC)-spaces are of uniformly bounded type.
0 references
strong dual of an (LB)-space
0 references
linearization of the holomorphic mappings of bounded type
0 references
(DFC)-spaces are of uniformly bounded type
0 references
0 references
0.9439107
0 references
0.9388447
0 references
0.92779016
0 references
0.9268054
0 references
