Please use this identifier to cite or link to this item: https://scholar.ptuk.edu.ps/handle/123456789/466
Title: uτ-Convergence in Locally Solid Vector Lattices
Authors: DABBOORASAD, YOUSEF A.
EMELYANOV, EDUARD YU.
MARABEH, MOHAMMAD A. A.
Keywords: Banach lattice
Vector lattice
uτ -convergence
uτ -topology
uo-convergence
un-convergence
un-topology
Issue Date: 2018
Publisher: Positivity
Abstract: Let (xα) be a net in a locally solid vector lattice (X, τ); we say that (xα) is unbounded τ -convergent to a vector x ∈ X if (|xα − x| ∧ w) τ−→ 0 for all w ∈ X+. In this paper, we study general properties of unbounded τ -convergence (shortly uτ -convergence). uτ -convergence generalizes unbounded norm convergence and unbounded absolute weak convergence in normed lattices that have been investigated recently. We introduce uτ -topology and briefly study metrizability and completeness of this topology.
URI: https://scholar.ptuk.edu.ps/handle/123456789/466
Appears in Collections:Applied science faculty

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