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<p>In this work, we introduce and study generalized entropy numbers for sets and operators acting on Banach spaces. The classical notion of Hausdorff entropy numbers becomes a particular case of the given definition. We also provide several other examples of generalized entropy numbers for sets and operators. We prove several properties for the general case.</p>

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Generalized entropy numbers of sets and operators

  • 期刊论文

  • 发表日期：

    2025年9月24日

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  • Eduardo Brandani da Silva,
  • Luan Carlos Della Pasqua

摘要

In this work, we introduce and study generalized entropy numbers for sets and operators acting on Banach spaces. The classical notion of Hausdorff entropy numbers becomes a particular case of the given definition. We also provide several other examples of generalized entropy numbers for sets and operators. We prove several properties for the general case.