Show that \[ \left \{\bar v\in \ell ^p:\ |v_i|\le 2^{-i}\right \} \] is compact for all \(p\ge 1\).
Question
Math 6210 • Real Analysis
Summer 2016 • Question 4
Question
Summer 2016 • Question 4
Show that \[ \left \{\bar v\in \ell ^p:\ |v_i|\le 2^{-i}\right \} \] is compact for all \(p\ge 1\).