Let c_0 be a vector subspace of l^(infinity), where c_0 is the space of all sequences of scalars converging to zero.

Show that Dual Space of c_0 is l^1.

Dual Space: if X is Normed Space then X' is Dual Space which is set of all bounded linear functionals on X.

||f|| = sup |f(x)|

x element of X

||x|| = 1