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Mark Schultz-Wu
Mark Schultz-Wu
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Are ALL linear functionals on C[0$C[0,1]1]$ generated by measures?

Consider derivative of the convolution of a given function f(.)$f(\cdot)$ with a fixed C-infinity$C^\infty$ function s(.)$s(\cdot)$, evaluated say at 0.5$1/2$. Is there a measure which generates the functional so defined?

Are ALL linear functionals on C[0,1] generated by measures?

Consider derivative of the convolution of a given function f(.) with a fixed C-infinity function s(.), evaluated say at 0.5. Is there a measure which generates the functional so defined?

Are ALL linear functionals on $C[0,1]$ generated by measures?

Consider derivative of the convolution of a given function $f(\cdot)$ with a fixed $C^\infty$ function $s(\cdot)$, evaluated say at $1/2$. Is there a measure which generates the functional so defined?

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H Tomasz Grzybowski
H Tomasz Grzybowski
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Are ALL linear functionals on C[0,1] generated by measures?

Consider derivative of the convolution of a given function f(.) with a fixed C-infinity function s(.), evaluated say at 0.5. Is there a measure which generates the functional so defined?