The fundamentality of sets of ridge functions
Abstract
We investigate the fundamentality of the set of all continuous ridge functions in the space C(ℝn) as well as in C(X) for a general Banach space, X. Both positive and negative results are obtained. Necessary and sufficient conditions for the fundamentality are given for certain sets of ridge functions in C(ℝn).
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1007/BF01830981
Keywords
AMS (1991) subject classification: Primary 41A63, 41A65, 41A30, Secondary 65D15
Publication Date
10-1-1992
Recommended Citation
Sun, Xingping, and Elliott Ward Cheney. "The fundamentality of sets of ridge functions." aequationes mathematicae 44, no. 2-3 (1992): 226-235.
Journal Title
Aequationes Mathematicae
COinS
