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Schwartz spaces and compact holomorphic mappings |
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| Authors: | Mikael Lindström |
| Affiliation: | (1) Department of Mathematics, Åbo Akademi, Fänriksgatan 3, SF-20500 Åbo, Finland |
| Abstract: | LetE be a locally convex space. We investigate under which conditions onE it is true that every holomorphic mapping fromE intoc0 is compact. We show that Schwartzity ofE is a sufficient condition and also a necessary condition ifE is quasi-normable. |
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