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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
Abstract
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