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We deal with complementably universal Banach spaces. Assuming the Continuum Hypothesis, there exists a complementably universal Banach space of density \(\aleph _1\) for the class of Banach spaces with a projectional resolution of the identity. Similar methods produce a universal preimage for the class of Valdivia compacta of weight \(\aleph _1\) .

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Complementably Universal Banach Spaces

  • 章节

  • 发表日期：

    2025年

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  • Jerzy Kąkol,
  • Wiesław Kubiś,
  • Manuel López-Pellicer,
  • Damian Sobota

摘要

We deal with complementably universal Banach spaces. Assuming the Continuum Hypothesis, there exists a complementably universal Banach space of density \(\aleph _1\) for the class of Banach spaces with a projectional resolution of the identity. Similar methods produce a universal preimage for the class of Valdivia compacta of weight \(\aleph _1\) .