Thread: Show that the dual space

1. Show that the dual space

Dear Colleagues,

Could you please help me in solving the following problem:
Show that the dual space of the space $c_{0}$ is $\ell^{1}$.

Regards,

Raed.

2. Originally Posted by raed
Could you please help me in solving the following problem: Show that the dual space of the space $c_{0}$ is $\ell^{1}$.

Look for example 2.7 here and ask your doubts.

3. Originally Posted by FernandoRevilla
Look for example 2.7 here and ask your doubts.
Nice hierarchy of spaces in the beginning of that document!

4. Originally Posted by Ackbeet
Nice hierarchy of spaces in the beginning of that document!

I agree (up to rotations).