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<p>We compute the Borel complexity of some classes of Banach spaces such as different versions of diameter two properties, spaces satisfying the Daugavet property or spaces with an octahedral norm. In most of the above cases our computation is even optimal, which completes the research done during the last years around this topic for isomorphism classes of Banach spaces.</p>

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Computing Borel complexity of some geometrical properties in Banach spaces

  • 期刊论文

  • 发表日期：

    2025年11月7日

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  • Ginés López-Pérez,
  • Esteban Martínez Vañó,
  • Abraham Rueda Zoca

摘要

We compute the Borel complexity of some classes of Banach spaces such as different versions of diameter two properties, spaces satisfying the Daugavet property or spaces with an octahedral norm. In most of the above cases our computation is even optimal, which completes the research done during the last years around this topic for isomorphism classes of Banach spaces.