Geodesic
Extreme points of the Besicovitch--Orlicz space of almost periodic functions equipped with the Luxemburg norm
Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 1, pp. 67-79.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

We investigate which points in the unit sphere of the Besicovitch--Orlicz space of almost periodic functions, equipped with the Luxemburg norm, are extreme points. Sufficient conditions for the strict convexity of this space are also given.
DOI : 10.14712/1213-7243.2021.007
Classification : 39A24, 46B20, 46E30
Keywords: Besicovitch--Orlicz space; extreme point; strict convexity; almost periodic function 
@article{10_14712_1213_7243_2021_007,
     author = {Hassaine, Slimane and Boulahia, Fatiha},
     title = {Extreme points of the {Besicovitch--Orlicz} space of almost periodic functions equipped with the {Luxemburg} norm},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {67--79},
     publisher = {mathdoc},
     volume = {62},
     number = {1},
     year = {2021},
     doi = {10.14712/1213-7243.2021.007},
     mrnumber = {4270467},
     zbl = {07396211},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.007/}
}
TY  - JOUR
AU  - Hassaine, Slimane
AU  - Boulahia, Fatiha
TI  - Extreme points of the Besicovitch--Orlicz space of almost periodic functions equipped with the Luxemburg norm
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 2021
SP  - 67
EP  - 79
VL  - 62
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.007/
DO  - 10.14712/1213-7243.2021.007
LA  - en
ID  - 10_14712_1213_7243_2021_007
ER  - 
%0 Journal Article
%A Hassaine, Slimane
%A Boulahia, Fatiha
%T Extreme points of the Besicovitch--Orlicz space of almost periodic functions equipped with the Luxemburg norm
%J Commentationes Mathematicae Universitatis Carolinae
%D 2021
%P 67-79
%V 62
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.007/
%R 10.14712/1213-7243.2021.007
%G en
%F 10_14712_1213_7243_2021_007
Hassaine, Slimane; Boulahia, Fatiha. Extreme points of the Besicovitch--Orlicz space of almost periodic functions equipped with the Luxemburg norm. Commentationes Mathematicae Universitatis Carolinae, Tome 62 (2021) no. 1, pp. 67-79. doi : 10.14712/1213-7243.2021.007. http://geodesic.mathdoc.fr/articles/10.14712/1213-7243.2021.007/

Cité par Sources :