Banach spaces which always produce octahedral spaces of operators

• Rueda Zoca, Abraham ^[1]
  1. [1] Universidad de Granada

     Universidad de Granada

     Granada, España

     
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 75, Fasc. 2, 2024, págs. 437-451
• Idioma: inglés
• DOI: 10.1007/s13348-023-00394-9
• Enlaces
  • Texto completo
• Resumen

  • We characterise those Banach spaces X which satisfy that L(Y, X) is octahedral for every non-zero Banach space Y. They are those satisfying that, for every finite dimensional subspace Z, can be finitely-representable in a part of X kind of -orthogonal to Z. We also prove that L(Y, X) is octahedral for every Y if, and only if, is octahedral for every and . Finally, we find examples of Banach spaces satisfying the above conditions like spaces with octahedral norms or -preduals with the Daugavet property.

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