Positivity, vol.25, no.5, pp.1677-1684, 2021 (Journal Indexed in SCI)
Article / Article
Title of Journal :
Vector lattice, Order dual, Regular Riesz dual system, b-property, Unbounded order convergence, Banach lattice, UNBOUNDED ORDER CONVERGENCE
© 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.We define bidual bounded uo-convergence in vector lattices and investigate relations between this convergence and b-property. We prove that for a regular Riesz dual system ⟨ X, X∼⟩ , X has b-property if and only if the order convergence in X agrees with the order convergence in X∼ ∼.