Complementable Operators and their Schur Complements

Sachin Manjunath Naik; P. Sam Johnson

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arXiv · 2406.11457

Complementable Operators and their Schur Complements

Sachin Manjunath Naik·P. Sam Johnson

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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.

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Sachin Manjunath Naik, P. Sam Johnson. 2024-06-17. Complementable Operators and their Schur Complements. https://arxiv.org/abs/2406.11457

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