Criteria for strict monotonicity, lower local uniform monotonicity, upper local uniform monotonicity and uniform monotonicity of a Musielak Orlicz space endowed with the Amemiya norm and its subspace of order continuous elements are given in the cases of nonatomic and the counting measure space. To
β¦ LIBER β¦
On Multifunctionals in the Musielak-Orlicz Spaces of Multifunctions
β Scribed by Andrzej Kasperski
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 327 KB
- Volume
- 168
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
We introduce the notions of X~d,s(x),Ο~βlinear multifunctional and X~d,s(x),Ο~βlinear continuous multifunctional. We generalize the theorems on linear bounded functionals in the MusielakβOrlicz space.
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