Banach envelopes of some quasi-Banach function spaces

Anna Kamińska, and Damian Kubiak. "Banach envelopes of some quasi-Banach function spaces." Commentationes Mathematicae 56.1 (2016): null. <http://eudml.org/doc/292431>.

@article{AnnaKamińska2016,
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.},
author = {Anna Kamińska, Damian Kubiak},
journal = {Commentationes Mathematicae},
keywords = {Banach envelope; Mackey topology; quasi-normed lattices; Cesàro spaces; spaces via sublinear operators; Musielak-Orlicz spaces; Nakano spaces},
language = {eng},
number = {1},
pages = {null},
title = {Banach envelopes of some quasi-Banach function spaces},
url = {http://eudml.org/doc/292431},
volume = {56},
year = {2016},
}

TY - JOUR
AU - Anna Kamińska
AU - Damian Kubiak
TI - Banach envelopes of some quasi-Banach function spaces
JO - Commentationes Mathematicae
PY - 2016
VL - 56
IS - 1
SP - null
AB - 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.
LA - eng
KW - Banach envelope; Mackey topology; quasi-normed lattices; Cesàro spaces; spaces via sublinear operators; Musielak-Orlicz spaces; Nakano spaces
UR - http://eudml.org/doc/292431
ER -