Superpositions of continuous functions
โ Scribed by Y. Sternfeld
- Publisher
- Elsevier Science
- Year
- 1979
- Tongue
- English
- Weight
- 449 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Linear spaces of continuous functions of real variables closed under the superposition operation are considered. It has been proved that when such a space contains constants, linear functions, and at least one nonlinear function, it is dense in the space of all continuous functions in the topology o
## Abstract Let __I__, __J__ โ โ be intervals. The main result says that if a superposition operator __H__ generated by a function of two variables __h__: __I__ ร __J__ โ โ, __H__ (__ฯ__)(__x__) โ __h__ (__x__, __ฯ__ (__x__)), maps the set __BV__ (__I__, __J__) of all bounded variation functions,