论文标题:算子级数的c（X）、l～p（X）（1＜p＜∞）-赋值收敛的不变性质
Invariant Property of c(X)、l～p(X)-Evaluation Convergence of Operator Series
论文作者
论文导师 崔成日,论文学位 硕士,论文专业 基础数学
论文单位 延边大学,点击次数 104,论文页数 33页File Size1113k
2005-05-28论文网 http://www.lw23.com/lunwen_870892797/
abstract duality pair; λ(X)— evaluation convergence; uniformly forward; essentially bounded; uniformly exhaustive
本文对抽象对偶系统(X,L(X,Y))中的λ(X)-赋值收敛的不变范围进行了研究。得到了如下结论: 1、利用c(X)空间子集是一致趋向的概念、l~p(X)(1Invariant range of λ(X)- evaluation convergence in abstract duality pair is discussed. we obtained the following results:1 With the concept of uniformly forward subsets of the spaces c(X),essentially bounded subsets of the spaces l∞(X) and uniformly exhaustive subsets of the spaces l~p(X) and the description of operator series family of l_p~β(X),we get a equipollence proposition about uniformly forward,essentially bounded and uniformly exhaustive subsets.2 Using the obtained theorem,the largest range of c(X)、l~p(X)(1 < p ≤ ∞) — evaluation convergence of operator series in abstract duality pair is obtained.
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