Dierolf拓扑F(μ_s)的刻划在不变性定理中的应用

Application of Dierolf Topology F(μ_s) in Invariant Theorems

仅利用Dierolf拓扑F(μs)的刻划给出了不变性定理的新证明,即分别给出了s-乘数收敛成为对偶不变性、全程不变性以及从弱拓扑σ(X,X′)到拓扑K(X,X′)的不变性的3个充分必要条件.

Only using the description of Dierolf topology F（μs ）, we give a new proof of the invariant theorem, i. e. , we present three sufficient and necessary conditions for s-multiplier convergence respectively to be duality invariant, full invariant and the invariant from the weak topology σ（X,X＇） to the topology K（X,X＇）.