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A characterization of Schwartz spaces

✍ Scribed by Mikael Lindström

Publisher
Springer-Verlag
Year
1988
Tongue
French
Weight
462 KB
Volume
198
Category
Article
ISSN
0025-5874

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📜 SIMILAR VOLUMES

Completion of Schwartz Convergence Vecto
Completion of Schwartz Convergence Vector Spaces
✍ Mikael Lindsteöm 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 385 KB

## 1. Definitions and introdiiction In this note it is shown that the completion of a SCHWARTZ space E in the category of L,L, -embedded spaces is Iinearly homeomorphic with the eJf-bidual LAM E . The connection between LA,, -embedded SCHWARTZ spaces and topological SCHWARTZ spaces is also studied.

Local Factorization of Differential Form
Local Factorization of Differential Forms on Fréchet–Schwartz Spaces
✍ Roberto Luiz Soraggi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 245 KB

The reduction of the Ѩ-problem on a Frechet nuclear space to the study of the Ѩ-operator on a Hilbert space produces a global solution u when the second member w factors globally through this Hilbert space. Easy counterexamples show that this global factorization is not in general possible and hence