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    Complementable operators and their Schur complements
    (Indian National Science Academy, 2025) Naik, S.M.; Johnson, P.
    In this paper, we characterize complementable operators and provide more precise expressions for the Schur complement of these operators using a single Douglas solution. We demonstrate the existence of subspaces where the given operator is invariably complementable. Additionally, we investigate the range-Hermitian property of these operators. © The Indian National Science Academy 2025.