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Strictly singular and nearly weakly compact operators in Banach function spaces

✍ Scribed by P van Eldik; J.J Grobler


Publisher
Elsevier Science
Year
1973
Weight
402 KB
Volume
76
Category
Article
ISSN
1385-7258

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On weakly convergent sequences in Banach
✍ Wang Baoxiang πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 123 KB πŸ‘ 2 views

In the paper, we shall prove that almost everywhere convergent bounded sequence in a Banach function space X is weakly convergent if and only if X and its dual space X\* have the order continuous norms. It follows that almost everywhere convergent bounded sequence in ΒΈN #ΒΈN (1(p , p (R) is weakly co