Complementable operators and their Schur complements

Sachin Manjunath Naik () and P. Sam Johnson ()
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Sachin Manjunath Naik: Manipal Academy of Higher Education
P. Sam Johnson: National Institute of Technology Karnataka

Indian Journal of Pure and Applied Mathematics, 2025, vol. 56, issue 3, 1131-1143

Abstract: Abstract 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.

Keywords: Complementable operators; Weakly complementable operators; Schur complement; 47A64; 47B65; 47A07 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13226-025-00828-z

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