Fuzzy拓扑线性空间的一点注记

Note on Fuzzy Topological Linear Spaces

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].