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math.FA2013★ 8 cited
Domination by positive weak* Dunford-Pettis operators on Banach lattices
Jin Xi Chen, Zi Li Chen, Guo Xing Ji
Recently, J. H'michane et al. introduced the class of weak* Dunford-Pettis operators on Banach spaces, that is, operators which send weakly compact sets onto limited sets. In this…
math.FA2013
Almost Limited Sets in Banach Lattices
Jin Xi Chen, Zi Li Chen, Guo Xing Ji
We introduce and study the class of almost limited sets in Banach lattices, that is, sets on which every disjoint weak null sequence of functionals converges uniformly to zer…