Weak operator Daugavet property and weakly open sets in tensor product spaces Rueda Zoca, Abraham This work was supported by MCIN/AEI/10.13039/501100011033: grant PID2021-122126NB-C31, Junta de Andalucía: grant FQM-0185, by Fundación Séneca: ACyT Región de Murcia: grant 21955/PI/22 and by Generalitat Valenciana: grant CIGE/2022/97. Universidad de Granada/CBUA. We obtain new progress about the diameter two property and the Daugavet property in tensor product spaces. Namely, the main results of the paper are: • If X∗ has the WODP, then X ⊗εY has the DD2P for any Banach space Y . • If X has the WODP, then X ⊗πY has the DD2P for any Banach space Y . • If X∗ and Y ∗ have the WODP then X ⊗εY has the Daugavet property. The above improve many results in the literature and establish progress on some open questions. 2025-06-03T07:51:27Z 2025-06-03T07:51:27Z 2025-06-02 journal article Rueda Zoca, A. Weak operator Daugavet property and weakly open sets in tensor product spaces. Rev Mat Complut (2025). https://doi.org/10.1007/s13163-025-00531-x https://hdl.handle.net/10481/104433 10.1007/s13163-025-00531-x eng http://creativecommons.org/licenses/by-nc-nd/3.0/ open access Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License Springer Nature