Geodesic
Orlicz Spaces Without Strongly Extreme Points and Without H-Points
Canadian mathematical bulletin, Tome 36 (1993) no. 2, pp. 173-177

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DOI

W. Kurc [5] has proved that in the unit sphere of Orlicz space LΦ(μ) generated by an Orlicz function Φ satisfying the suitable Δ2-condition and equipped with the Luxemburg norm every extreme point is strongly extreme. In this paper it is proved in the case of a nonatomic measure μ that the unit sphere of the Orlicz space LΦ(μ) generated by an Orlicz function Φ which does not satisfy the suitable Δ2-condition and equipped with the Luxemburg norm has no strongly extreme point and no H-point.
DOI : 10.4153/CMB-1993-025-6
Mots-clés : 46E30, 46B20, Orlicz space, Luxemburg norm, Δ2-condition, strongly extreme point, H-point. 
Hudzik, Henryk. Orlicz Spaces Without Strongly Extreme Points and Without H-Points. Canadian mathematical bulletin, Tome 36 (1993) no. 2, pp. 173-177. doi: 10.4153/CMB-1993-025-6
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