Resumen de Banach spaces which always produce octahedral spaces of operators

Abraham Rueda Zoca

• 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.