Linear isometries between real JB*-triples and C*-algebras

Maria Apazoglou, Antonio M. Peralta

Let $T:A\to B$ be a (not necessarily surjective) linear isometry between two real JB${}^{\ast }$-triples. Then for each $a\in A$ there exists a tripotent $u_a$ in the bidual, $B^{\prime \prime },$ of $B…