# News & Events

## Seminar

Date/Time:
Wednesday, March 25, 2015 - 11:35 to 12:35
Venue:
LH-301
Speaker:
Dr. Safdar Quddus
Affiliation:
NISER, Bhubaneswar
Title:
Ultrafilters of $\mathbb N$ and functionals on $\mathbb D(l_2)$
Abstract: We shall define ultrafilters and examine its behaviour on $\mathbb N$. In order to understand the pure states on $\mathbb D(l_2)$, we shall firstly prove that $\mathbb D(l_2)$ is isometric to $C(\beta \mathbb N)$, the algebra of continuous functions on Stone-Cech Compactified $\mathbb N$. Finally we identify the pure states on $\mathbb D(l_2)$ in this setting.