Compactifications of Spaces of Functions and Integration of Functionals
โ Scribed by Grinblat, L. S.
- Book ID
- 124877516
- Publisher
- American Mathematical Society
- Year
- 1976
- Tongue
- English
- Weight
- 805 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0002-9947
- DOI
- 10.2307/1997566
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๐ SIMILAR VOLUMES
This article characterizes the set of activation functions, bounded or unbounded, that allow feedforward network approximation of the continuous functions on the classic two-point compactification of R 1 . The characterization fails when the set of targets are continuous functions on the classic com
Let C(X) be the Banach space of continuous real-valued functions of an infinite compacturn X with the sup-norm, which is homeomorphic to the pseudo-interior s = (-I, I)"' of the Hilbert cube Q = [-1, llw. We can regard C(X) as a subspace of the hyperspace exp(X x E) of nonempty compact subsets of X