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<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.</p>

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Complementable operators and their Schur complements

  • 期刊论文

  • 发表日期：

    2025年7月11日

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  • Sachin Manjunath Naik,
  • P. Sam Johnson

摘要

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.