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Comparison and nuclearity of spaces of differential forms on topological vector spaces
| Title: | Comparison and nuclearity of spaces of differential forms on topological vector spaces |
| Authors: | Arai, Asao Browse this author | | Mitoma, Itaru Browse this author |
| Issue Date: | Oct-1991 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 128 |
| Start Page: | 2 |
| End Page: | 27 |
| Abstract: | Two types of fundamental spaces of differential forms on infinite dimensional topological vector spaces are considered; one is a fundamental space of Hida's type and the other is one of Malliavin's. It is proven that the former space is smaller than the latter. Moreover, it is shown that, under some conditions, the fundamental space of Hida's type is nuclear as a complete countably normed space, while that of Malliavin's in the L2 sense is not. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/68875 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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