Note on the Invariance Properties of Operator Products Involving Generalized Inverses

XiaojiLiu; MiaoZhang; YaomingYu

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Note on the Invariance Properties of Operator Products Involving Generalized Inverses

机译：关于涉及概括逆的操作员产品的不变性属性的注意事项

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We investigate further the invariance properties of the bounded linear operator productAC1 B1 Dand its range with respect to the choice of the generalized inversesXandYof bounded linear operators. Also, we discuss the range inclusion invariance properties of the operator product involving generalized inverses.

机译：我们进一步调查了有界线性操作员产品CAN1 B1的不变性属性，其相对于界限的线性运算符的广义inverseSxandyof的选择。此外，我们讨论了涉及概括的反转的操作员产品的范围纳入不变性属性。

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《Abstract and applied analysis》 |2014年第15期|共9页
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XiaojiLiu; MiaoZhang; YaomingYu;
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1. Invariance properties of an operator product involving generalized inverses [J] . Xiong Zhiping, Qin Yingying The Electronic Journal of Linear Algebra . 2011,第1期

机译：涉及广义逆的算子乘积的不变性
2. Invariance properties of a triple matrix product involving generalized inverses [J] . Gross J, Tian YG Linear Algebra and its Applications . 2006,第1期

机译：涉及广义逆的三重矩阵乘积的不变性
3. FURTHER RESULTS ON INVARIANCE OF THE EIGENVALUES OF MATRIX PRODUCTS INVOLVING GENERALIZED INVERSES [J] . Baksalary JK., Markiewicz A. Linear Algebra and its Applications . 1996,第0期

机译：涉及广义逆的矩阵产品特征值不变性的进一步结果
4. EQUIVALENT CONDITIONS FOR THE REVERSE ORDER PROPERTY INVARIANCE UNDER GENERALIZED INVERSES OF MATRICES [C] . HANIFA ZEKRAOUI, SAID GUEDJIBA International Conference on Mathematical Science . 2011

机译：矩阵概括逆转录下的反向阶属性不变性的等效条件
5. Inverse Problems for Fractional Operators Involving a Magnetic Potential [D] . Li, Li. 2021

机译：涉及磁电位的分数算子的逆问题
6. A linear-time algorithm that avoids inverses and computes Jackknife (leave-one-out) products like convolutions or other operators in commutative semigroups [O] . John L. Spouge, Joseph M. Ziegelbauer, Mileidy Gonzalez 2020

机译：一种线性时间算法可避免逆转和计算换乘器或其他操作员的jackknife（休留一张）产品
7. Note on the Invariance Properties of Operator Products Involving Generalized Inverses [O] . Xiaoji Liu, Miao Zhang, Yaoming Yu 2014

机译：关于涉及概括逆的操作员产品的不变性属性的注意事项
8. NOTE ON THE GENERALIZED INVERSE OF A MATRIX PRODUCT [R] . T. N. E. Greville 1966

机译：关于矩阵乘积的广义逆的注记

Note on the Invariance Properties of Operator Products Involving Generalized Inverses

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