Let $V$, $W$ be the $n$, $m$ dimensional real vector spaces with scalar product.
What is the dimension of the cones $P(V)$, $P(Votimes W)$ of positive definite complex operators on $V$, $Votimes W$ with traces equal to 1?
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Let $V$, $W$ be the $n$, $m$ dimensional real vector spaces with scalar product.
What is the dimension of the cones $P(V)$, $P(Votimes W)$ of positive definite complex operators on $V$, $Votimes W$ with traces equal to 1?