Weakly compact sets and weakly compact pointwise multipliers in Banach function lattices
نویسندگان
چکیده
We prove that the class of Banach function lattices in which all relatively weakly compact sets are equi-integrable (i.e. spaces satisfying Dunford–Pettis criterion) coincides with 1-disjointly homogeneous lattices. New examples such provided. Furthermore, it is shown criterion equivalent to de la Valleé Poussin rearrangement invariant on interval. Finally, results applied characterize pointwise multipliers between
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2022
ISSN: ['1522-2616', '0025-584X']
DOI: https://doi.org/10.1002/mana.202000077