Points of monotonicity in Musielak-Orlicz function spaces endowed with the Luxemburg norm

2004 ◽  
Vol 82 (6) ◽  
Author(s):  
H. Hudzik ◽  
X. B. Liu ◽  
T. F. Wang
Keyword(s):  
Orlicz Function ◽  
Function Spaces ◽  
Luxemburg Norm

scholarly journals On the weakly strongly exposed property and some smoothness properties of Orlicz spaces

1996 ◽  
Vol 54 (3) ◽  
pp. 431-440
Author(s):  
Yunan Cui ◽  
Henry K. Hudzik ◽  
Hongwei Zhu
Keyword(s):  
Banach Space ◽  
Orlicz Function ◽  
Orlicz Spaces ◽  
Function Spaces ◽  
Luxemburg Norm ◽  
Orlicz Norm ◽  
Dual Property ◽  
Order Continuous

The notion of a weakly strongly exposed Banach space is introduced and it is shown that this property is the dual property of very smoothness. Criteria for this property in Orlicz function spaces equipped with the Orlicz norm are presented. Criteria for strong smoothness and very smoothness of their subspaces of order continuous elements in the case of the Luxemburg norm are also given.

Orlicz Spaces Without Strongly Extreme Points and Without H-Points

1993 ◽  
Vol 36 (2) ◽  
pp. 173-177 ◽  
Author(s):  
Henryk Hudzik
Keyword(s):  
Extreme Point ◽  
Orlicz Space ◽  
Unit Sphere ◽  
Orlicz Function ◽  
Orlicz Spaces ◽  
Extreme Points ◽  
Luxemburg Norm ◽  
Nonatomic Measure

AbstractW. 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.

scholarly journals On the WM Points of OrIicz Function Spaces Endowed with Luxemburg Norm

1995 ◽  
Vol 8 (2) ◽  
Author(s):  
Minli Li ◽  
Tingfu Wang ◽  
Cuixia Hao
Keyword(s):  
Function Spaces ◽  
Luxemburg Norm

scholarly journals Isomorphic copies of $$l^\infty $$ l ∞ in Cesàro–Orlicz function spaces

Positivity ◽  
2016 ◽  
Vol 21 (3) ◽  
pp. 1015-1030 ◽  
Author(s):  
Tomasz Kiwerski ◽  
Paweł Kolwicz
Keyword(s):  
Orlicz Function ◽  
Function Spaces
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