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- W4308759679 abstract "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 Lowner, 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 $AB$." @default.
- W4308759679 created "2022-11-15" @default.
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- W4308759679 date "2022-11-09" @default.
- W4308759679 modified "2023-10-16" @default.
- W4308759679 title "Moore-Penrose inverse and partial orders on Hilbert space operators" @default.
- W4308759679 doi "https://doi.org/10.48550/arxiv.2211.05037" @default.
- W4308759679 hasPublicationYear "2022" @default.
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