Orlicz-Pettis型定理的应用  

The application of theorems of Orlicz-Pettis type

作　　者：陶元红[1] 李春花 文松龙[1] 

机构地区：[1]哈尔滨工业大学理学院,黑龙江哈尔滨150001 [2]延边大学师范学院,吉林延吉133000

出　　处：《黑龙江大学自然科学学报》2005年第3期397-400,共4页Journal of Natural Science of Heilongjiang University

摘　　要：利用在局部凸空间中与弱拓扑分别具有相同子级数收敛、有界乘数收敛、s-乘数收敛点列的三个最强可允许极拓扑F(μ)、F(μ)、F(μs)的刻划,证明了F(μs0)=F(μ),F(μ∞l∞)=F(μ).It is shown that F(μ_ s_0)=F(μ) and F(μ_ l ∞)=F(μ *) by using the description of the three strongest admissible polar topologies F(μ),F(μ *) and F(μ_s),which have the same subseries convergent sequences,boundedness multiplier convergent sequences, s-multiplier convergent sequences respectively as weak topology in the locally convex space.

关 键 词：s-乘数收敛 子级数收敛 有界乘数收敛 可允许极拓扑 

分 类 号：O177.3[理学—数学]