Banach envelopes of some quasi-Banach function spaces
Commentationes Mathematicae, Tome 56 (2016) no. 1.
Voir la notice de l'article dans European Digital Mathematics Library
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.
Mots-clés :
Banach envelope, Mackey topology, quasi-normed lattices, Cesàro spaces, spaces via sublinear operators, Musielak-Orlicz spaces, Nakano spaces
@article{COMA_2016__56_1_292431, author = {Anna Kami\'nska and Damian Kubiak}, title = {Banach envelopes of some {quasi-Banach} function spaces}, journal = {Commentationes Mathematicae}, publisher = {mathdoc}, volume = {56}, number = {1}, year = {2016}, language = {en}, url = {https://geodesic-test.mathdoc.fr/item/COMA_2016__56_1_292431/} }
Anna Kamińska; Damian Kubiak. Banach envelopes of some quasi-Banach function spaces. Commentationes Mathematicae, Tome 56 (2016) no. 1. https://geodesic-test.mathdoc.fr/item/COMA_2016__56_1_292431/