Schwartz spaces and compact holomorphic mappings
✍ Scribed by Mikael Lindström
- Publisher
- Springer
- Year
- 1988
- Tongue
- English
- Weight
- 320 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0025-2611
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📜 SIMILAR VOLUMES
Compactness of locally bounded sets of holomorphic functions with infinite dimensional domains is connected, using Heinrich's density condition, to the Schwartz and semi -Monte1 properties on the domain. The metrizability of bounded subsets for various spaces of holomorphic functions is investigated
Eilenberg proved that if a compact space X admits a zero-dimensional map f :X → Y , where Y is m-dimensional, then there exists a map h :X → I m+1 such that f × h :X → Y × I m+1 is an embedding. In this paper we prove generalizations of this result for σ -compact subsets of arbitrary spaces. An exam