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<p>In this article, we establish some fundamental properties of minimum attaining operators. We also investigate the existence of non-trivial closed invariant subspaces for minimum attaining quasinormal operators. In the context, we discuss applications of our results to weighted shift operators.</p>

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A note on minimum attaining operators

  • 期刊论文

  • 发表日期：

    2025年11月10日

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  • Rekha Sinha,
  • Jadav Ganesh,
  • S. Veeramani

摘要

In this article, we establish some fundamental properties of minimum attaining operators. We also investigate the existence of non-trivial closed invariant subspaces for minimum attaining quasinormal operators. In the context, we discuss applications of our results to weighted shift operators.