Extreme points of the Besicovitch--Orlicz space of almost periodic functions equipped with the Luxemburg norm

2021 ◽  
Vol 62 (1) ◽  
pp. 67-79
Author(s):  
 Hassaine Slimane ◽  
Boulahia Fatiha
Keyword(s):  
Orlicz Space ◽  
Extreme Points ◽  
Almost Periodic Functions ◽  
Almost Periodic ◽  
Luxemburg Norm ◽  
Periodic Functions

scholarly journals Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm

2021 ◽  
Vol 41 (5) ◽  
pp. 629-648
Author(s):  
Fatiha Boulahia ◽  
Slimane Hassaine
Keyword(s):  
Orlicz Space ◽  
Extreme Points ◽  
Almost Periodic Functions ◽  
Almost Periodic ◽  
Periodic Functions ◽  
Orlicz Norm ◽  
Amemiya Norm

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.

Almost periodic functions

Mathematika ◽  
1955 ◽  
Vol 2 (2) ◽  
pp. 128-131 ◽  
Author(s):  
J. D. Weston
Keyword(s):  
Almost Periodic Functions ◽  
Almost Periodic ◽  
Periodic Functions
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