有限维赋范线性空间的性质

对于有限维赋范线性空间,它有一些性质是一般赋范线性空间所不具有的,在许多《泛函分析》的教材中,没有将其性质加以完整、系统地总结。本文对有限维赋范线性空间的性质进行了详细的讨论与证明。

As for the properties of a finite dimentional normed linear space, it has some properties which are not included by some normal dimentional normed linear space. In many books about that, the properties are not summed up completely and systematically. This paper discusses and proves thoroughly about the properties of a finite dimentional normed linear space.