Topological properties of spaces of linear operators on non-locally convex Orlicz spaces
Commentationes Mathematicae, Tome 50 (2010) no. 2.

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We study the topological properties of the space ℒ ( L ϕ , X ) of all continuous linear operators from an Orlicz space L ϕ (an Orlicz function ϕ is not necessarily convex) to a Banach space X . We provide the space ℒ ( L ϕ , X ) with the Banach space structure. Moreover, we examine the space ℒ s ( L ϕ , X ) of all singular operators from L ϕ to X .
Mots-clés : Orlicz spaces, linear operators, singular operators 
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     author = {Agnieszka Oelke},
     title = {Topological properties of spaces of linear operators on non-locally convex {Orlicz} spaces},
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Agnieszka Oelke. Topological properties of spaces of linear operators on non-locally convex Orlicz spaces. Commentationes Mathematicae, Tome 50 (2010) no. 2. https://geodesic-test.mathdoc.fr/item/COMA_2010__50_2_291716/