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Convenient Vector Spaces of Smooth Functions

✍ Scribed by A. Kriegl; L. D. Nel

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
457 KB
Volume
147
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

By a convenient vector space is meant a locally convex IR‐vector space which is separated, bornological and Mackey‐complete. The theory of such spaces, initiated in [Kr 82], [Fr 82], and [FGK 83], has evolved into a book [FK 88]. In the preliminaries below we outline the principal features of this theory relevant to this paper. We are concerned mainly with questions about the reflexiveness of spaces C^∞^(X, ℝ) for various X and matters closely related to this.

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