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arXiv · 1903.02168

Unbounded convergence in Banach lattices and applications

Zhangjun Wang·Zili Chen·Jinxi Chen
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Abstract

Several recent papers investigated unbounded convergences in Banach lattices. Combine all unbounded convergences, including unbounded order (norm, absolute weak, absolute weak*) convergence, we characterize L-weakly compact sets, L-weakly compact operators and M-weakly compact operators on Banach lattices. Some related results are obtained as well.

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Zhangjun Wang, Zili Chen, Jinxi Chen. 2019-03-06. Unbounded convergence in Banach lattices and applications. https://arxiv.org/abs/1903.02168

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