# Article

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Keywords:
Orlicz spaces; inductive limit topologies; convex functions
Summary:
Let $L^\varphi$ be an Orlicz space defined by a convex Orlicz function $\varphi$ and let $E^\varphi$ be the space of finite elements in $L^\varphi$ (= the ideal of all elements of order continuous norm). We show that the usual norm topology $\Cal T_\varphi$ on $L^\varphi$ restricted to $E^\varphi$ can be obtained as an inductive limit topology with respect to some family of other Orlicz spaces. As an application we obtain a characterization of continuity of linear operators defined on $E^\varphi$.
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