Displaying similar documents to “Distant bounded variation and products of derivatives”

On the Composition Operator in AC[a,b].

Nelson Merentes (1991)

Collectanea Mathematica

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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.