شماره ركورد كنفرانس :
4338
عنوان مقاله :
A review on unbounded absolute weak convergence in Banach lattices
پديدآورندگان :
Zabeti Omid o.zabeti@gmail.com Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, Zahedan, Iran;
كليدواژه :
Banach lattice , unbounded absolute weak convergence , unbounded absolute weak topology , order continuous Banach lattice , reflexive Banach lattice
عنوان كنفرانس :
سومين سمينار ملي نظريه عملگرها و كاربردهاي آن
چكيده فارسي :
A net $(x_{\alpha})$ in a Banach lattice $E$ is said to be unbounded absolutely weakly convergent ($uaw$-convergent, in brief) to $x\in E$ if for each $u\in E_{+}$, the net $(|x_{\alpha}-x|\wedge u)$ converges to zero weakly. In this paper, We consider some properties of $uaw$-convergence.
