Siegel domains over Finsler symmetric cones

Let $Ω$ be a proper open cone in a real Banach space $V$. We show that the tube domain $V \oplus iΩ$ over $Ω$ is biholomorphic to a bounded symmetric domain if and only if $Ω$ is a normal linearly homogeneous Finsler symmetric cone, which is equivalent to the condition that $V$ is a unital JB-algebra in an equivalent norm and $Ω$ is the interior of $\{v^2: v\in V\}$.

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