Reverse order law for Moore-Penrose inverse of closed operators and its applications

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dc.contributor.authorSatheesh, K.A.
dc.contributor.authorJohnson, P.
dc.contributor.authorKamaraj, K.
dc.date.accessioned2026-02-03T13:19:32Z
dc.date.issued2025
dc.description.abstractWe 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.
dc.identifier.citationIndian Journal of Pure and Applied Mathematics, 2025, 56, 3, pp. 1026-1035
dc.identifier.issn195588
dc.identifier.urihttps://doi.org/10.1007/s13226-025-00818-1
dc.identifier.urihttps://idr.nitk.ac.in/handle/123456789/20106
dc.publisherIndian National Science Academy
dc.subjectClosed densely defined operator
dc.subjectMoore-Penrose inverse
dc.subjectPolar decomposition
dc.subjectReverse order law
dc.titleReverse order law for Moore-Penrose inverse of closed operators and its applications

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