Geodesic
Order continuous linear functionals on non-locally convex Orlicz spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 465-475.

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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.
Classification : 46A80, 46B10, 46B30, 46B42, 46E30
Keywords: Orlicz spaces; modular spaces; locally solid Riesz spaces; Köthe dual; order continuous linear functionals 
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Nowak, Marian. Order continuous linear functionals on non-locally convex Orlicz spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 33 (1992) no. 3, pp. 465-475. http://geodesic.mathdoc.fr/item/CMUC_1992__33_3_a8/