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Monotonicity and best approximation in Banach lattices

✍ Scribed by Shu Tao Chen; Xin He; H. Hudzik


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2009
Tongue
English
Weight
206 KB
Volume
25
Category
Article
ISSN
1439-7617

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Monotonicity Properties of Musielak–Orli
✍ H Hudzik; W Kurc πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 288 KB

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