摘要
Recently, the locally convex space theory has obtained a series of proper developments and improvements by the agency of the Basic Matrix Theorem (BMT) duc to J. Mikusinski and P. Antosik. In this note, we would like to present another basic theorem named Uniform Convergence Principle (UCP). We shall show that UCP has the same effects as BMT, though UCP is easier than BMT in their proofs. UCP. Let G be an abelian topological group and Ωa sequentially compact space.
出处
《哈尔滨工业大学学报》
EI
CAS
CSCD
北大核心
1992年第3期107-108,共2页
Journal of Harbin Institute of Technology
关键词
一致收剑原理
数学分析
Uniform convergence principle
basic matrix theorem
