Banach spaces which always produce octahedral spaces of operators Rueda Zoca, Abraham Spaces of operators Universally octahedral Finite representability 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, l(infinity) can be finitely-representable in a part of X kind of l(1)-orthogonal to Z. We also prove that L(Y, X) is octahedral for every Y if, and only if, L(l(n)(p), X) is octahedral for every n is an element of N and 1 < p < infinity. Finally, we find examples of Banach spaces satisfying the above conditions like Lip(0)(M) spaces with octahedral norms or L-1-preduals with the Daugavet property. 2023-02-22T08:29:38Z 2023-02-22T08:29:38Z 2023-01-27 journal article Rueda Zoca, A. Banach spaces which always produce octahedral spaces of operators. Collect. Math. (2023). [https://doi.org/10.1007/s13348-023-00394-9] https://hdl.handle.net/10481/80130 10.1007/s13348-023-00394-9 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer