Geodesic
Uniformly \(\mu\)-Continuous Topologies on Orlicz-Bochner Spaces
Commentationes Mathematicae, Tome 46 (2006) no. 1, pp. 93-111.

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

We examine the topological properties of Orlicz-Bochner spaces \(L^\varphi(X)\) (over a σ-finite measure space \((\Omega, \Sigma, \mu))\), where \(\varphi\) is an Orlicz function (not necessarily convex) and \(X\) is a real Banach space. We continue the study of some class of locally convex topologies on \(L^\varphi (X)\), called uniformly \(\mu\)-continuous topologies. In particular, the generalized mixed topology \(\mathcal{T}_I^\varphi (X)\) on \(L^\varphi (X)\) (in the sense of Turpin) is considered.
DOI : 10.14708/cm.v46i1.5210
Mots-clés : Orlicz spaces, Orlicz-Bochner spaces, locally solid topologies, generalized mixed topologies, uniformly \(\varphi\)-summable sets, uniformly \(\varphi\)-integrable sets 
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Krzysztof Feledziak. Uniformly \(\mu\)-Continuous Topologies on Orlicz-Bochner Spaces. Commentationes Mathematicae, Tome 46 (2006) no. 1, pp.  93-111. doi : 10.14708/cm.v46i1.5210. http://geodesic.mathdoc.fr/articles/10.14708/cm.v46i1.5210/

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