On the weak star uniformly rotund points of Orlicz spaces.
Ting Fu Wang, Quan Di Wang (1993)
Collectanea Mathematica
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We obtain the necessary and sufficient condition of weak star uniformly rotund point in Orlicz spaces.
Ting Fu Wang, Quan Di Wang (1993)
Collectanea Mathematica
Similarity:
We obtain the necessary and sufficient condition of weak star uniformly rotund point in Orlicz spaces.
Pascal Lefèvre, Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza (2008)
Colloquium Mathematicae
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We give new proofs that some Banach spaces have Pełczyński's property (V).
Yunan Cui, Yunfeng Zhang (1997)
Collectanea Mathematica
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In this paper, we obtain criteria for KR and WKR points in Orlicz function spaces equipped with the Luxemburg norm.
Shutao Chen, Huiying Sun (1993)
Collectanea Mathematica
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This paper presents some properties of singular functionals on Orlicz spaces, from which criteria for weak convergence and weak compactness in such spaces are obtained.
Lech Maligranda, Katsuo Matsuoka (2015)
Colloquium Mathematicae
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We define Beurling-Orlicz spaces, weak Beurling-Orlicz spaces, Herz-Orlicz spaces, weak Herz-Orlicz spaces, central Morrey-Orlicz spaces and weak central Morrey-Orlicz spaces. Moreover, the strong-type and weak-type estimates of the Hardy-Littlewood maximal function on these spaces are investigated.
Zhongrui Shi, YuanDi Wang, Ge Dong (2007)
Colloquium Mathematicae
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Necessary and sufficient conditions are given for Orlicz sequence spaces equipped with the Orlicz norm to be uniformly rotund in a weakly compact set of directions, using only conditions on the generating function of the space.
Ting Fu Wang, Zhong Rui Shi (1994)
Revista Matemática de la Universidad Complutense de Madrid
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In the paper, a sufficient and necessary condition is given for the locally uniformly weak star rotundity of Orlicz spaces with Orlicz norms.
Ting Fu Wang, Zhong Rui Shi, Quan Di Wang (1993)
Collectanea Mathematica
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For Orlicz spaces with Orlicz norm, a criterion of W*UR point is given, and previous results about UR points and WUR points are amended.
Fatiha Boulahia, Mohamed Morsli (2010)
Commentationes Mathematicae Universitatis Carolinae
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We characterize the uniform non-squareness and the property of Besicovitch-Orlicz spaces of almost periodic functions equipped with Orlicz norm.