## Abstract We study the bounded approximation property for spaces of holomorphic functions. We show that if __U__ is a balanced open subset of a FrรฉchetโSchwartz space or (__DFM__ )โspace __E__ , then the space โ๏ธ(__U__ ) of holomorphic mappings on __U__ , with the compactโopen topology, has the b
On an Exponential Law for Spaces of Holomorphic Mappings
โ Scribed by Sten Bjon
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 218 KB
- Volume
- 131
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
โฆ Synopsis
The principal aim of this note is to improve an exponential law [4] for spaces of holoniorphic functions. We shall show that sequential completeness (instead of completeness) suffices for the target space. Incidentally we prove theorems which are interesting in their own right. Recall that a convergence vector space (short : cvs) E is L,-embedded
๐ SIMILAR VOLUMES
We study mapping properties of the Fourier Laplace transform between certain spaces of entire functions. We introduce a variant of the classical Fock space by integrating against the Monge Ampeร re measure of the weight function and show that the norm of the Fourier Laplace transform, in a dual Fock