Browsing by Author "Satheesh, K.A."

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    Reverse order law for Moore-Penrose inverse of closed operators and its applications
    (Indian National Science Academy, 2025) Satheesh, K.A.; Johnson, P.; Kamaraj, K.
    We present some results to characterize the reverse order law for Moore-Penrose inverse of closed densely defined operators on Hilbert spaces. We use the basic properties of the Moore-Penrose inverse of closed operators to prove our results. We provide an example to show that the reverse order law for Moore-Penrose inverse of unbounded closed densely defined operators may not hold good in general. We also provide a method to find the Moore-Penrose inverse of a closed densely defined operator as an application of the reverse order law using polar decomposition. © The Indian National Science Academy 2025.