We mentioned in the last lecture that in if converge to with one norm, then converge to with any norm.

We now consider a special case, -norms.

(1). Show that for any and any , .

(2). Show that for any , if with norm then with norm .

- Does have global maximum or minimum value on the set ?

Compute the differentials of functions and .

What is the relation between and , and what is the relation between and ?