Jin-Xi Chen

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math.FA2024

Reciprocal Dunford--Pettis sets and V $^{*}$ -sets in Banach lattices

Jin Xi Chen, Xi Li

In this short note, we show that one cannot differentiate between reciprocal Dunford--Pettis sets and V $^{*}$ -sets in a Banach lattice. That is, for a bounded subset $K$ of a Banach…

math.FA2024

Totally bounded sets in the absolute weak topology

Halimeh Ardakani, Jin Xi Chen

In this paper, almost Dunford-Pettis operators with ranges in $c_{0}$ are used to identify totally bounded sets in the absolute weak topology. That is, a bounded subset $A$ of a Bana…

Reciprocal Dunford--Pettis sets and V∗-sets in Banach lattices

Totally bounded sets in the absolute weak topology

Reciprocal Dunford--Pettis sets and V $^{*}$ -sets in Banach lattices