Suppose $V$ and $W$ are finite dimensional linear spaces and $V^*$ as well as $W^*$ are their appropriate linear duals.
Now let $f: V \to W$ and $g: V \to W$ be linear maps. Is the following identity correct?
$f^* \otimes g^* = (f \otimes g)^*$
That is the tensor product of the dual linear maps, is the linear dual of the tensor product of the maps.
Can't find this neither on the Wikipedia page of the tensor product, nor on the Wikipedia page of the dual linear maps. Therefore its properly wrong? Don't think so.