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- W4366341551 abstract "We prove the following results: (i) Every absolutely weakly compact set in a Banach lattice is absolutely weakly sequentially compact. (ii) The converse of (i) holds if $E$ is separable or $B_{E^{**}}$ is absolutely weak$^*$ compact. (iii) Every absolutely weakly compact subset of a Banach lattice is contained in the closed convex hull of an absolutely weakly null sequence if and only if the Banach lattice has the positive Schur property. Examples and applications are provided." @default.
- W4366341551 created "2023-04-20" @default.
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- W4366341551 date "2023-04-14" @default.
- W4366341551 modified "2023-09-27" @default.
- W4366341551 title "Grothendieck's compactness principle for the absolute weak topology" @default.
- W4366341551 doi "https://doi.org/10.48550/arxiv.2304.07416" @default.
- W4366341551 hasPublicationYear "2023" @default.
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