2 papers
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 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 are used to identify totally bounded sets in the absolute weak topology. That is, a bounded subset of a Bana…