Order weakly compact and order unconditionally converging operators are consider on the setting of Banach latices. In this paper we characterize the class of Banach lattices on which o-weakly compact operators on it are order unconditionally converging operators. Two class of Banach having the V0 property is showing. We also consider the spaces E on which every ⎸𝜎 ⎸(E′, E)-convergent sequences on E′ are 𝜎(E′, E″) -convergent.
@article{1567, title = {The V0 property in Banach Lattices}, journal = {CUBO, A Mathematical Journal}, year = {1992}, language = {en}, url = {http://dml.mathdoc.fr/item/1567} }
Sánchez Henriquez, José. The 𝑉₀ property in Banach Lattices. CUBO, A Mathematical Journal, (1992), 5 p. http://gdmltest.u-ga.fr/item/1567/