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<p>The concept of injective hull of ideals of normalized Bloch mappings is introduced and a characterization is established in terms of a domination property. The injective hulls of normalized Bloch ideals generated by the procedures of composition and duality are described and applied to concrete examples of normalized Bloch ideals. A&#xa0;Bloch variant of a known characterization due to Jarchow and Pelczyński for the closed injective hull of an operator ideal is stated in terms of an Ehrling-type inequality.</p>

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An Ehrling-type inequality for the closed injective hull of Bloch ideals

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月6日

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  • A. Jiménez-Vargas,
  • María Isabel Ramírez

摘要

The concept of injective hull of ideals of normalized Bloch mappings is introduced and a characterization is established in terms of a domination property. The injective hulls of normalized Bloch ideals generated by the procedures of composition and duality are described and applied to concrete examples of normalized Bloch ideals. A Bloch variant of a known characterization due to Jarchow and Pelczyński for the closed injective hull of an operator ideal is stated in terms of an Ehrling-type inequality.