## Order continuous linear functionals on non-locally convex Orlicz spaces.(English)Zbl 0812.46017

Summary: The space of all order continuous linear functionals on an Orlicz space $$L^ \varphi$$ defined by an arbitrary (not necessarily convex) Orlicz function $$\varphi$$ is described.

### MSC:

 46E30 Spaces of measurable functions ($$L^p$$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46B10 Duality and reflexivity in normed linear and Banach spaces 46B42 Banach lattices 46A80 Modular spaces
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