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Reverse Order Law for Closed Range Operators in Hilbert Spaces
Published 13 Jul 2022 in math.FA | (2207.06123v1)
Abstract: 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.
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