Finsler对称锥上的Siegel域
Siegel domains over Finsler symmetric cones
摘要：
设$Ω$是实巴拿赫空间$V$中的真开锥.证明了$Ω$上的管域$V \oplus iΩ$是双全纯的当且仅当$Ω$是正规线性齐次Finsler对称锥，这等价于$V$在等价范数下是有单位JB-代数且$Ω$是$\{v^2: v\in V\}$的内部的条件.
英文摘要：
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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