The Daugavet property of $C^{\ast }$-algebras, $J{B}^{\ast }$-triples, and of their isometric preduals

Julio Becerra-Guerrero, Miguel Martin

A Banach space $X$ is said to have the Daugavet property if every rank-one operator $T:X⟶X$ satisfies $\Vert Id+T\Vert =1+\Vert T\Vert$. We give geometric characterizations o…