Abstract
Let ϕ : X → X be a non-singular transformation, ψ be an Orlicz function and (X, Σ ,μ )ac ompleteσ-finite measure space. In this paper, by using Radon-Nikodym derivative dμ◦ϕ �1 dμ , the compact composition operator Cϕf = f ◦ ϕ on Orlicz space L ψ (μ) is characterized. The sufficient and necessary condition for the bounded composition operator to be completely continuous is obtained. Keywords: Orlicz function; Orlicz space; composition operator; complete continuousness MR(2010) Subject Classification: 47B38; 47B33; 47B37 / CLC number: O177.2 Document code: A Article ID: 1000-0917(2015)01-0111-06
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