Show that
$\displaystyle {f}_{1}(x)$ = max $\displaystyle x(t) $ for $\displaystyle t\in J$, $\displaystyle J=[a,b] $
$\displaystyle {f}_{2}(x)$ = min $\displaystyle x(t) $
defines functionals on C[a,b]. Are they linear? Bounded?
Show that
$\displaystyle {f}_{1}(x)$ = max $\displaystyle x(t) $ for $\displaystyle t\in J$, $\displaystyle J=[a,b] $
$\displaystyle {f}_{2}(x)$ = min $\displaystyle x(t) $
defines functionals on C[a,b]. Are they linear? Bounded?