Geodesic
Banach envelopes of some quasi-Banach function spaces
Commentationes Mathematicae, Tome 56 (2016) no. 1, p. 87−101.

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

We show that under some assumptions on the Musielak−Orlicz function generating a quasi-Banach Musielak−Orlicz function space, the Banach envelope of the weighted Cesàro−Musielak−Orlicz space generated by a certain positive sublinear operator is a weighted \(L_1\)-space.
DOI : 10.14708/cm.v56i1.1134
Classification : 46A16, 46A40, 46B04, 46B42, 46B20
Mots-clés : Banach envelope, Mackey topology, quasi-normed lattices, Cesàro spaces, spaces via sublinear operators, Musielak-Orlicz spaces, Nakano spaces 
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Anna Kamińska; Damian Kubiak. Banach envelopes of some quasi-Banach function spaces. Commentationes Mathematicae, Tome 56 (2016) no. 1, p.  87−101. doi : 10.14708/cm.v56i1.1134. http://geodesic.mathdoc.fr/articles/10.14708/cm.v56i1.1134/

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