Quotient Banach Lattices Under Unbounded Norm Topology
Publish Year: 1403
Type: Journal paper
Language: English
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Document National Code:
JR_SCMA-21-3_019
Index date: 9 July 2024
Quotient Banach Lattices Under Unbounded Norm Topology abstract
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.
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Quotient Banach Lattices Under Unbounded Norm Topology authors
Leila Hasanzadeh
Department of Pure Mathematics, Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz, Iran.
Asghar Ranjbari
Department of Pure Mathematics, Faculty of Mathematics, Statistics and Computer Science, University of Tabriz, Tabriz, Iran.
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