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<p>We consider additive operators that approximately preserve the Birkhoff-James orthogonality relation. In particular, we show that such operators must be linear.</p>

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Additive operators approximately preserving Birkhoff–James orthogonality

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年8月14日

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  • Jacek Chmieliński,
  • Rafał Stypka

摘要

We consider additive operators that approximately preserve the Birkhoff-James orthogonality relation. In particular, we show that such operators must be linear.