On the extension of isometries between the unit spheres of a JBW${}^{\ast }$-triple and a Banach space

Julio Becerra-Guerrero, María Cueto-Avellaneda, Francisco J. Fernández-Polo +1

We prove that every JBW${}^{\ast }$-triple $M$ with rank one or rank bigger than or equal to three satisfies the Mazur--Ulam property, that is, every surjective isometry from the unit sphe…