The fundamentality of sets of ridge functions |
| |
| Authors: | Xingping Sun E. W. Cheney |
| |
| Affiliation: | (1) Department of Mathematics, Southwestern Missouri State University, 65804 Springfield, Missouri, USA;(2) Department of Mathematics, The University of Texas at Austin, 78712 Austin, Texas, USA |
| |
| Abstract: | Summary We investigate the fundamentality of the set of all continuous ridge functions in the spaceC( n) as well as inC(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 inC(n). |
| |
| Keywords: | Primary 41A63, 41A65, 41A30 Secondary 65D15 |
| 本文献已被 SpringerLink 等数据库收录！ |
|
