The 𝑉₀ property in Banach Lattices
Author
Sánchez Henriquez, José
Abstract
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.