A solution to Tingley's problem for isometries between the unit spheres of compact C${}^{\ast }$-algebras and JB${}^{\ast }$-triples

Antonio M. Peralta, Ryotaro Tanaka

Let $f:S(E)\to S(B)$ be a surjective isometry between the unit spheres of two weakly compact JB${}^{\ast }$-triples not containing direct summands of rank smaller than or equal to 3. Sup…