摘要
本文直接证明满足[1]定理7.1条件(ⅰ′)-(ⅵ′)的Lasalle拟范族只有‖xλ‖d≡0(x∈X,λ∈(0,1],d∈D),它所确定的空间就是[2]推论3的平凡(L)型空间。
In this paper, we prove that a Lasalle pseudonorm variety satisfies the condition (ⅰ')—-(ⅵ')in theorem 7.1 [1] only when ‖xλ‖≡0(x∈X,λ∈[0',1], d∈D) and the space determined by such pseudonorm variety must be a trivial (L) type space derived in [2].
出处
《福建师范大学学报(自然科学版)》
CAS
CSCD
1990年第2期19-20,共2页
Journal of Fujian Normal University:Natural Science Edition
关键词
模糊拓补
拓扑线性空间
邻域基
Fuzzy topological linear space, neighborhood base, trivial (L)-type space