On the Composition Operator in AC[a,b]

Autores: Nelson Merentes
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 42, Fasc. 3, 1991, págs. 237-243
Idioma: inglés
Títulos paralelos:
- Sobre el operador de composición en AC[a,b]
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Resumen
- Denote by F the composition operator generated by a given function f: R --> R, acting on the space of absolutely continuous functions. In this paper we prove that the composition operator F maps the space AC[a,b] into itself if and only if f satisfies a local Lipschitz condition on R.