论文标题
希尔伯特空间中的封闭范围操作员的反向订单定律
Reverse Order Law for Closed Range Operators in Hilbert Spaces
论文作者
论文摘要
我们提出了50多个结果，其中包括一些范围包含结果，以表征Hilbert太空运营商封闭范围的Moore-Penrose反向定律。我们使用Moore-Penrose倒数的基本特性来证明结果。还提供了一些示例，以说明失败案件在无限的维度设置中持有反向订单定律。
We present more than 50 results including some range inclusion results to characterize reverse order law for Moore-Penrose inverse of closed range Hilbert space operators. We use basic properties of Moore-Penrose inverse to prove the results. Some examples are also provided to illustrate failure cases to hold the reverse order law in infinite dimensional settings.
