Graduate Analysis Seminar
Trevor Leslie
UIC
Some basic properties of Radon measures
Abstract: With the aim of understanding the dual space of $C_0(X)$,
the continuous functions on a (locally compact Hausdorff) space $X$
which vanish at infinity, we introduce Radon measures and prove that
there is a natural bijection between the set of positive linear functionals on
$C_c(X)$ (the space of compactly supported continuous functions on $X$)
and the space of Radon measures on $X$.
Monday March 28, 2016 at 2:00 PM in SEO 612