@misc{10481/87137, year = {2024}, month = {3}, url = {https://hdl.handle.net/10481/87137}, abstract = {We prove that every JB∗-triple E (in particular, every C∗- algebra) satisfying the Daugavet property also satisfies the stronger polynomial Daugavet property, that is, every weakly compact polynomial P : E −→ E satisfies the Daugavet equation IdX +P = 1 + P . The analogous conclusion also holds for the alternative Daugavet property}, publisher = {Elsevier}, title = {The Daugavet equation for polynomials on C⁎-algebras and JB⁎-triples}, doi = {10.1016/j.aim.2023.109479}, author = {Cabezas, David and Martín Suárez, Miguel and Peralta Pereira, Antonio Miguel}, }