"On Riesz-Banach
Lattices with b-property and b-weakly compact operators"

By

**Safak Alpay
**

**(Middle
East Technical University)**

** **

Abstract: A subset A of a Riesz space is called b-bounded if it is order bounded in the order bidual under canonical embedding of E into its bidual. A Riesz space is said to have b-property if each b-bounded subset of E is order bounded in E. On the other hand a linear map between a Riesz space E and a Banach space X is called b-weakly compact if the image of each b-bounded subset of E is mapped to a relatively weakly compact subset of X. We will exhibit properties of Riesz spaces (Banach lattices) with b-property and of b-weakly compact operators.

Tea and cookies will be served before the
seminar.

**Date: ****Tuesday,
December 4, 2007**

**Time: ****15.50**

**Place: ****Mathematics Seminar Room, SA-141**