摘要
本文对具有Schauder基的无穷维Banach空间上的映射定义偏导数,并讨论f的可徽性与偏导数存在并连续的关系;同时,本文还时论象所在空间为具有Schauder基的空间时,映射f与坐标映射f1在可微性、连续性方面的关系.
We define partial derivative for a map f on Banach space with schauder base first, then discuss the relationship between differentiable property of f and existence and continuous of partial derivative of f. We also discuss the relationship between f and its coordinate functions fi about differential and continuous properties when the image space is a Banach space with Schauder base.
