## 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,
Uniformly continuous composition operators in the space of bounded -variation functions
โ Scribed by J.A. Guerrero; H. Leiva; J. Matkowski; N. Merentes
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 360 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
~t ~s i ## I l -i s n R arbitrary The function 11./1 is a norm on the set V , of all functions f wit,h f ( 0 ) = 0. supplied with this norm I ; , is a BAXACH space. For p=-1 set ct,(f) = Iim sup ( lf(ti) -/(ti -,) i p)i 'p
It is shown that if a separable real Banach space X admits a separating analytic ลฝ ลฝ . function with an additional condition property K , concerning uniform behaviour . of radii of convergence then every uniformly continuous mapping on X into any real Banach space Y can be approximated by analytic o