What is the dual space of $L^2([0,1],[0,1])$

57 Views Asked by At

Suppose $L^2([0,1],[0,1])$ contains all Lebesgue square-integrable functions mapping from $[0,1]$ to $[0,1]$. Does the dual sapce be represesnted by all functions in $L^2([0,1],[0,1])$ or all functions in $L^2([0,1],R)$?