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.

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School of Mathematical Sciences

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