The Daugavet equation for polynomials on C⁎-algebras and JB⁎-triples Cabezas, David Martín Suárez, Miguel Peralta Pereira, Antonio Miguel 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 2024-01-23T09:46:01Z 2024-01-23T09:46:01Z 2024-03 info:eu-repo/semantics/article Advances in Mathematics Volume 439, March 2024, 109479 https://hdl.handle.net/10481/87137 10.1016/j.aim.2023.109479 eng http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess Attribution-NonCommercial-NoDerivatives 4.0 Internacional Elsevier