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

Published online by Cambridge University Press:  17 April 2009

Yunan Cui ,
Henry K. Hudzik  and
Hongwei Zhu
Yunan Cui
Affiliation:
Habin University of Sciences and Technology, Harbin, People's Republic of China
Henry K. Hudzik
Affiliation:
Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznań, Poland
Hongwei Zhu
Affiliation:
Habin University of Sciences and Technology, Harbin, People's Republic of China
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 54 , Issue 3 , December 1996 , pp. 431 - 440
Copyright
Copyright © Australian Mathematical Society 1996

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