Quotient Banach Lattices Under Unbounded Norm Topology

In this paper, we verify some extra properties in quotient Banach lattices. Especially, we characterize the  zero neighborhoods under unbounded norm topology (un-topology) in quotient Banach lattices. We verify some types of convergence in a quotient Banach lattice. Also, we show that if a Banach lattice is atomic, then the quotient Banach lattice so is.  Finally, we show that  the quotient preserves Schur and Banach-Saks properties.

کلیدواژه ها:

Quotient Banach lattice ، Un-topology ، Atom