Article ID Journal Published Year Pages File Type
6419184 Journal of Mathematical Analysis and Applications 2013 4 Pages PDF
Abstract

We give a sufficient condition for a smooth not necessarily injective function ψ:R→R ensuring that the composition operator Cψ:C∞(R)→C∞(R), F↦F∘ψ has closed range. This generalizes in a special case the result of Kenessey and Wengenroth which gave a description of composition operators Cψ with closed range for smooth injective symbols ψ:R→Rd.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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