论文标题
通过插值方法引起的球体之间的同态均匀同态性
Uniform homeomorphisms between spheres induced by interpolation methods
论文作者
论文摘要
M. Daher [9]表明，如果$（x_0，x_1）$是常规的几个均匀凸出空间，那么复杂插值空间的单位球$x_θ$和$x_η$都是均匀的同型同型，每$ 0<θ，η<1 $。我们表明，这是通过[15]的离散框架描述的插值方法的普遍现象。
M. Daher [9] showed that if $(X_0, X_1)$ is a regular couple of uniformly convex spaces then the unit spheres of the complex interpolation spaces $X_θ$ and $X_η$ are uniformly homeomorphic for every $0 < θ, η< 1$. We show that this is a rather general phenomenon of interpolation methods described by the discrete framework of interpolation of [15].
