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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
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Extending Continuous Sublinear maps on dense subsets of a Banach space
To 1) and 2). Let $X^{'}=Y=c_{0}$ , and let $X=c_{00}$. Take some
$p\in X^{'}\smallsetminus X$, and define $T:X\rightarrow Y$ by $Tx:=\left\Vert x\right\Vert \cdot\left(\sin\left(\left\Vert x-p\right\ …