摘要
本文基于连续函数空间的共轭空间的构造方法,通过Stieltjes积分理论,得到了区间上具有有限个间断点,在间断点处仅左连续且右极限存在的函数全体所成空间的共轭空间。随后给出区间上具有无限个间断点,在间断点处仅左连续且右极限存在的函数全体所成空间的共轭空间。
Based on the construction method of conjugate space of continuous function space and Stieltjes integral theory,this paper obtains the conjugate space of the PC[0,1]space in which the functions has finite discontinuous points,has right limit at discontinuity points and is left continuous at discontinuity points.Finally,we get conjugate space of the PC[0,1]space in which the functions has infinite discontinuous points,has right limit at discontinuity points and is left continuous at dis-continuity points also.
出处
《理论数学》
2019年第5期641-646,共6页
Pure Mathematics
