期刊论文

中文

南华大学学报(自然科学版)

1673-0062

1997

02

56-59

10.19431/j.cnki.1673-0062.1997.02.011

本校为其他机构

基于范数在x0处Gateaux可做的一个充分条件和范数x0处Fr　chet可微的充分条件，本文指出它们实际上是充要条件，并给出Banach空间X与XxR上的等价范数在一点的Gateaux可做性．

Based on a sufficient condition for a norm to be Gateaux differentiable on x0 and a sufficient condition for a norm to be Frechet differentiable, a condition for a norm to be Gateaux differentiable on X and X×R on Banach space is given. This paper shows that it is actual...