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端单调线性泛函的存在性(英文)
On the Existence of an Extremal Monotonic Linear Functional
【摘要】 讨论了偏序线性空间的代数对偶空间上的端单调线性泛函的延拓性.进一步,还推导出端单调线性泛函的存在性定理.
【Abstract】 In this paper, our aim is to discuss the extension of an extremal monotonic linear functional in the algebraic dual space of a partially ordered linear space. Furthermore, the existence theorem of extremal monotonic linear functionals is deduced.
【关键词】 偏序线性空间;
阶理想;
端单调线性泛函;
【Key words】 partially ordered linear space; order-ideal; extremal monotonic linear functional;
【Key words】 partially ordered linear space; order-ideal; extremal monotonic linear functional;
- 【文献出处】 应用泛函分析学报 ,ACTA ANALYSIS FUNCTIONALIS APPLICATA , 编辑部邮箱 ,1999年02期
- 【分类号】O177
- 【下载频次】19