加权Banach空间中随机函数列 { tλn (ω) } 的完备性与闭包

该文研究了随机函数列{ t^{λn (ω)} } 在加权Banach空间$C_{\alpha}$中的完备性与闭包.其中$C_{\alpha}$表示在正实轴上连续且满足当,$t\rightarrow +\infty$时,$|f(t)|{\rm e}^{-\alpha(t)}\rightarrow0$的连续复函数组成的Banach空间.

On the Completeness and Closure of Random Systems { tλn (ω) } in a Weighted Banach Space

In this paper, the authors investigate the completeness and closure of random systems{ t^{λn (ω)} } in the weighted Banach space $C_{\alpha}$, where $C_{\alpha}$ denotes the Banach spaces consisting of functions of one complex variable continuous on the right half real axis and satisfying $|f(t)|{\rm e}^{-\alpha(t)}\rightarrow0~(t\rightarrow +\infty$).