摘要
本文以两个反例证明中主要结果:若对偶空间X~*可分,则小X~*具有H.性质。(2)X范数Gateaux可微与Frechert可微等价是错误的。
The main conclusion in [1] is that if a dual space X* is separable there is H* property in it and if X* is separable the norm of X is Gateaux differentiable if it is Frechert differentiable.
In this paper with two examples we show that the conclusion in [1] is not correct.
出处
《哈尔滨师范大学自然科学学报》
CAS
1994年第1期15-17,共3页
Natural Science Journal of Harbin Normal University
关键词
对偶空间
H性质
范数
巴拿赫空间
Dual space
H* property
Norm
Gateaux differentiable
Frechert differentiable
