摘要
给出了拓扑线性空间上存在非零连续线性泛函的一个充要条件,并由此证明了在任意拟有界的拓扑线性空间上均不存在非零连续线性泛函.
We give a sufficient & necessary condition for the Existence of non-trivial continuous linear functional on top-ological vector spaces, and show that there is no non-trivial continuous linear functional on any quasi-bounded topological vector space.
出处
《河北工业大学学报》
CAS
2005年第3期62-64,共3页
Journal of Hebei University of Technology
基金
国家自然科学基金资助项目(19631070)
关键词
拓扑线性空间
连续线性泛函
拟有界空间
topological vector space
continuous linear functional
quasi-bounded space
