Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm
Author(s) -
Fatiha Boulahia,
Slimane Hassaine
Publication year - 2021
Publication title -
opuscula mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 16
eISSN - 2300-6919
pISSN - 1232-9274
DOI - 10.7494/opmath.2021.41.5.629
Subject(s) - mathematics , norm (philosophy) , extreme point , space (punctuation) , pure mathematics , mathematical analysis , combinatorics , computer science , law , political science , operating system
In the present paper, we give criteria for the existence of extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm. Some properties of the set of attainable points of the Amemiya norm in this space are also discussed.
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