Faculty Publications

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Author: search.filters.author.Kamaraj, K.Subject: search.filters.subject.Reverse order law

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    Reverse order law for generalized inverses with indefinite Hermitian weights
    (University of Nis, 2023) Kamaraj, K.; Johnson, P.S.; Athira, S.K.
    In this paper, necessary and sufficient conditions are given for the existence of Moore-Penrose inverse of a product of two matrices in an indefinite inner product space (IIPS) in which reverse order law holds good. Rank equivalence formulas with respect to IIPS are provided and an open problem is given at the end. © 2023, University of Nis. All rights reserved.
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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.