On the Composition Operator in AC[a,b].
Merentes, Nelson
Collectanea Mathematica, Tome 42 (1991), p. 237-243 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1991-01-01
DMLE-ID : 501 
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     journal = {Collectanea Mathematica},
     volume = {42},
     year = {1991},
     pages = {237-243},
     zbl = {0783.47045},
     mrnumber = {MR1203182},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:42539}
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Merentes, Nelson. On the Composition Operator in AC[a,b].. Collectanea Mathematica, Tome 42 (1991) pp. 237-243. http://gdmltest.u-ga.fr/item/urn:eudml:doc:42539/