Geodesic
Topological properties of spaces of linear operators on non-locally convex Orlicz spaces
Commentationes Mathematicae, Tome 50 (2010) no. 2, pp. 103-108.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

We study the topological properties of the space \(\mathcal{L}(L^\varphi, X)\) of all continuous linear operators from an Orlicz space \(L^\varphi\) (an Orlicz function \(\varphi\) is not necessarily convex) to a Banach space \(X\). We provide the space \(\mathcal{L}(L^\varphi ,X)\) with the Banach space structure. Moreover, we examine the space \(\mathcal{L}_s (L^\varphi, X)\) of all singular operators from \(L^\varphi\) to \(X\).
DOI : 10.14708/cm.v50i2.5176
Mots-clés : Orlicz spaces, linear operators, singular operators 
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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, pp.  103-108. doi : 10.14708/cm.v50i2.5176. http://geodesic.mathdoc.fr/articles/10.14708/cm.v50i2.5176/

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