Banach envelopes of some quasi-Banach function spaces

Anna Kamińska; Damian Kubiak

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ArticleOriginal scientific text

Title

Banach envelopes of some quasi-Banach function spaces

Authors ,

Abstract

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.

Keywords

ENG

Banach envelope, Mackey topology, quasi-normed lattices, Cesàro spaces, spaces via sublinear operators, Musielak-Orlicz spaces, Nakano spaces