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<p>We introduce the notion of subprojective and superprojective operators and we use them to prove a variation of the three-space property for subprojective and superprojective spaces. As an application, we show that some spaces considered by Johnson and Lindenstrauss are both subprojective and superprojective.</p>

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On the Three-Space Property for Subprojective and Superprojective Banach Spaces

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月8日

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  • Manuel González,
  • Javier Pello

摘要

We introduce the notion of subprojective and superprojective operators and we use them to prove a variation of the three-space property for subprojective and superprojective spaces. As an application, we show that some spaces considered by Johnson and Lindenstrauss are both subprojective and superprojective.