Mazur-Ulam theorem
= Mazur-Ulam theorem
{c}
{wiki=Mazur–Ulam_theorem}
Every surjective isometry between real normed vector spaces is affine. In particular, if $u(0)=0$, then $u$ is real-linear.
= Mazur-Ulam theorem
{c}
{wiki=Mazur–Ulam_theorem}
Every surjective isometry between real normed vector spaces is affine. In particular, if $u(0)=0$, then $u$ is real-linear.