Banach空间上非零有界线性泛函导出的正锥与半序  

The Positive Cone and Semi-order Yielded by the Bounded Linear Functional in Banach Spaces

作　　者：许绍元[1] 

机构地区：[1]赣南师范学院数学与计算机科学学院,江西赣州341000

出　　处：《赣南师范学院学报》2008年第3期8-10,共3页Journal of Gannan Teachers' College(Social Science(2))

基　　金：江西省教育厅科技计划项目(GJJ08388)

摘　　要：证明了Banach空间X上任意非零有界线性泛函f都可以诱导出一个正锥P,并且此正锥导出的半序≤P与f导出的半序≤本质上是一致的.we prove that any bounded linear functional fin Banach Spaces X does yield a positive cone P . that the semi -order yielded by this positive cone P is identical to that one by the functional f in essence.

关 键 词：度量空间 泛函与半序 BANACH空间 有界线性泛函 正锥与半序 

分 类 号：O177.91[理学—数学]