Does there exist nonconstant function $h$ $\in$ $L^{2}([0,1]\times [0,1], \mu(\text{ lebesgue }))$ $E=\{(x,y)\mapsto f(x)f(y)h(x,y):f \in C[0,1]\}$ is dense in $L^{2}([0,1]\times [0,1], \mu(\text{ lebesgue }))$? I am looking for elaboarated answer thanks in advance!!
2026-04-03 17:49:00.1775238540
On density of function spaces
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