Opuscula Math. 41, no. 5 (2021), 629-648
https://doi.org/10.7494/OpMath.2021.41.5.629
Opuscula Mathematica
Extreme points of the Besicovitch-Orlicz space of almost periodic functions equipped with Orlicz norm
Fatiha Boulahia
Slimane Hassaine
Abstract. 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.
Keywords: extreme points, strict convexity, almost periodic functions, Besicovitch-Orlicz spaces of almost periodic functions.
Mathematics Subject Classification: 46B20, 46B25, 46E30.
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https://orcid.org/0000-0002-3942-7963- University A. Mira of Bejaia, Laboratory of Applied Mathematics, Department of Mathematics, Faculty of Exact Sciences, Targa Ouzemour, 06000 Bejaia, Algeria
- Slimane Hassaine
- University of Mouloud Mammeri, Tizi-Ouzou, Department of Mathematics, Faculty of Sciences, Tizi-Ouzou BP No 17, RP 15000, Algeria
- University of Bejaia, Laboratory of Applied Mathematics, Algeria
- Communicated by P.A. Cojuhari.
- Received: 2020-09-04.
- Revised: 2021-04-15.
- Accepted: 2021-09-10.
- Published online: 2021-09-30.
