论文标题
阳性半限定内部产品空间的操作员
Operators on positive semidefinite inner product spaces
论文作者
论文摘要
我们在复杂的矢量空间$ u $上提供了典型的自助式和等轴测操作员，并提供标量产品的标量产品，由阳性的半遗产形式给出，以及$ u $的Hermitian形式。对于它们之间/之间的半统一空间和线性映射系统的任意系统，我们提供了一种将其矩阵降低到规范形式的算法。
We give canonical forms of selfadjoint and isometric operators on a complex vector space $U$ with scalar product given by a positive semidefinite Hermitian form, and of Hermitian forms on $U$. For an arbitrary system of semiunitary spaces and linear mappings on/between them, we give an algorithm that reduces their matrices to canonical form.
