摘要
介绍了半范等概念 ,并证明当p(x)为E的一个半范时 ,得p(x)≡ μB(x) ,其中B =xp(x) <1,x∈E ;另一方面 ,当A为线性空间E的“凸、星型吸收、均衡”集时 ,Minkowski泛函 μA(x)
The concept of siminorm is introduced and proved that if P(x) is a seminorm of the set E then p(x)≡μ B(x),where B=xp(x)<1,x∈E.On the other hand,if A μ A(x) is a convex,star-shaped absorbing,balanced set,then the Minkowski functional μ A(x) is a seminorm.
出处
《济南大学学报（自然科学版）》
CAS
2003年第4期361-363,共3页
Journal of University of Jinan(Science and Technology)
