Nonsquareness in Musielak-Orlicz-Bochner function spaces.
Shang, Shaoqiang, Cui, Yunan, Fu, Yongqiang (2011)
Abstract and Applied Analysis
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Shang, Shaoqiang, Cui, Yunan, Fu, Yongqiang (2011)
Abstract and Applied Analysis
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Shang, Shaoqiang, Cui, Yunan, Fu, Yongqiang (2010)
Abstract and Applied Analysis
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Shang, Shaoqiang, Cui, Yunan, Fu, Yongqiang (2011)
Journal of Inequalities and Applications [electronic only]
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Chen, Shutao, Hu, Changying, Zhao, Charles Xuejin (2002)
International Journal of Mathematics and Mathematical Sciences
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Ryszard Pluciennik, Yuwen Wang (1994)
Revista Matemática de la Universidad Complutense de Madrid
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In the first section of this paper there are given criteria for strict convexity and smoothness of the Bochner-Orlicz space with the Orlicz norm as well as the Luxemburg norm. In the second one that geometrical properties are applied to the characterization of metric projections and zero mean valued best approximants to Bochner-Orlicz spaces.
Harold Bevan Thompson, Yunan Cui (2001)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we give necessary and sufficient conditions for a point in a Musielak-Orlicz sequence space equipped with the Orlicz norm to be an -point. We give necessary and sufficient conditions for a Musielak-Orlicz sequence space equipped with the Orlicz norm to have the property, the uniform property and to be nearly uniformly convex. We show that a Musielak-Orlicz sequence space equipped with the Orlicz norm has the fixed point property if and only if it is reflexive. ...
Rhoades, B. E. (2003)
International Journal of Mathematics and Mathematical Sciences
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