加权Banach空间中随机函数列 { tλn (ω) } 的完备性与闭包

加权Banach空间中随机函数列 { t^λn(ω) } 的完备性与闭包

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

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数学物理学报

杨向东;邓冠铁

昆明理工大学数学系昆明 650093;

北京师范大学数学科学学院北京 100875

收稿日期:2006-03-27 修回日期:2007-12-24 出版日期:2008-06-25 发布日期:2008-06-25
通讯作者: 杨向东
基金资助:
昆明理工大学人才引进项目(14118029)资助

Yang Xiangdong; Deng Guantie

Department of Mathematics, Beijing Normal University, Beijing 100875

Received:2006-03-27 Revised:2007-12-24 Online:2008-06-25 Published:2008-06-25
Contact: Yang Xiangdong

摘要： 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.

关键词: 加权Banach空间, 随机函数列, 闭包

Abstract: 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 $|f(t)|{\rm e}^{-\alpha(t)}\rightarrow0~(t\rightarrow +\infty$ ).

Key words: Weighted Banach spaces, Random systems, Closure

中图分类号:

30E20

杨向东;邓冠铁. 加权Banach空间中随机函数列 { t^λn(ω) } 的完备性与闭包[J]. 数学物理学报, 2008, 28(3): 508-514.

Yang Xiangdong; Deng Guantie.

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

[J]. Acta mathematica scientia,Series A, 2008, 28(3): 508-514.

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