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?

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- Jun 5th 2011, 08:00 PMkinkongLinear and bounded operator
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? - Jun 5th 2011, 08:03 PMDrexel28
- Jun 5th 2011, 08:54 PMkinkong
- Jun 5th 2011, 09:01 PMDrexel28
- Jun 5th 2011, 09:24 PMkinkong
- Jun 5th 2011, 09:37 PMDrexel28
- Jun 18th 2011, 10:49 PMkinkongRe: Linear and bounded operator
i couldnt proceed with this question...i need some help guys..

- Jun 20th 2011, 12:56 AMAckbeetRe: Linear and bounded operator
What's the definition of a functional?