6533b7cffe1ef96bd1258da4
RESEARCH PRODUCT
Entire Functions of Bounded Type on Fréchet Spaces
Manuel MaestreDomingo GarcíaPablo Galindosubject
Discrete mathematicsMathematics::Functional AnalysisMathematics::Complex VariablesGeneral MathematicsBounded functionUniform boundednessBounded deformationInfinite-dimensional holomorphyBounded inverse theoremIdentity theoremExponential typeBounded operatorMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-01-01 | Mathematische Nachrichten |