The Daugavet equation for polynomials on C${}^{\ast }$-algebras and JB${}^{\ast }$-triples

David Cabezas, Miguel Martín, Antonio M. Peralta

We prove that every JB${}^{\ast }$-triple $E$ (in particular, every $C^{\ast }$-algebra) satisfying the Daugavet property also satisfies the stronger polynomial Daugavet property, that is, every…