Abstract
In this paper, we study mixed-type reverse-order laws for the Moore–Penrose inverse of an operator product AB, and obtain necessary and sufficient conditions for these mixed-type reverse-order laws. Results related to other generalized inverses are also proved.
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Xiong, Z., Qin, Y. Mixed-Type Reverse-Order Laws for the Generalized Inverses of an Operator Product. Arab J Sci Eng 36, 475–486 (2011). https://doi.org/10.1007/s13369-011-0046-8
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DOI: https://doi.org/10.1007/s13369-011-0046-8
Keywords
- Mixed-type reverse-order law
- Moore–Penrose inverse
- Generalized inverse
- Linear bounded operators
- Operator product
- Hilbert space