(2,p)-范空间上的Mazur-Ulam定理

摘要

It's proved that a 2-isometry between two linear (2,p)-normed spaces (0＜p≤1) is affine without any other conditions,that is,the Mazur-Ulam theorem holds when X and Y are real linear (2,p)-normed spaces(0 ＜p≤ 1).%证明了两个(2,p)-范空间(0＜p≤1)上的2-等距映射是仿射的.也就是说,当X和y是实(2,p)-范空间(0＜p≤1)时,不需要任何条件,Mazur-Ulam定理是成立的.