This is the first paper to consider the isometric extension problem of an into-mappingbetween the unit spheres of two different types of spaces.We prove that,under some conditions,aninto-isometric mapping from the unit sphere S(_((2))~∞) to S(L^1(μ))can be(real)linearly isometricallyextended.
Guang Gui DING School of Mathematical Science and LPMC,Nankai University,Tianjin 300071,P.R.China
这篇文章介绍一个新奇方法证明那：让 E 是 AM 空间并且如果暗淡 E ≥ 3，那么在那里不存在任何奇怪从联合起来的范围 S (E) 的减少性的等轴的印射进 S [L (ω，μ)] 。特别地，在那里不存在从进 L 的 E 的任何真实线性 isometry (ω，μ) 。给词调音：等轴的印射；奇怪、减少性印射；AM
