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Comparison and Nuclearity of Spaces of Differential Forms on Topological Vector Spaces

✍ Scribed by A. Arai; I. Mitoma

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
433 KB
Volume
111
Category
Article
ISSN
0022-1236

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✦ Synopsis

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 (L^{2}) sense is not. '1993 Academic Press. Inc.

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