半正定内积空间上的算子
Operators on positive semidefinite inner product spaces
摘要：
本文给出了复向量空间$U$上标积由半正定Hermite型给出的自伴算子和等距算子的标准形以及$U$上Hermite型的标准形。对于半酉空间及其上或之间的线性映射的任意系统，我们给出了将其矩阵约化为标准形的算法。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
