论文标题
Hilbert太空运营商的Moore-Penrose反向和部分订单
Moore-Penrose inverse and partial orders on Hilbert space operators
论文作者
论文摘要
在本文中，我们探讨了有关界线线性运算符的摩尔 - 芬罗倒数的几个方面。一方面，我们研究了相对于Löwner，Star，sionus，Sharp和Diamond Orders的摩尔 - 芬罗倒数的单调性能。另一方面，我们分析了反订单定律的有效性，$ b^\ Dagger A^\ Dagger =（ab）^\ Dagger $，在操作员范围以及订单运营商的假设下。最后，我们将操作员$ b^\ Dagger A^\ Dagger $作为$ AB $的不同加权倒置。
In this article we explore several aspects concerning to the Moore-Penrose inverse of a bounded linear operator. On the one hand, we study monotonicity properties of the Moore-Penrose inverse with respect to the Löwner, star, minus, sharp and diamond orders. On the other hand, we analyze the validity of the reverse order law, $B^\dagger A^\dagger=(AB)^\dagger$, under hypothesis of operator ranges and also under hypothesis of order operators. Finally, we study the operator $B^\dagger A^\dagger$ as different weighted inverses of $AB$.
