叙列空间上的二级囿变函数(Ⅱ)

作者在[1]中引入了叙列空间上的二级囿变函数,本文是它的继续。首先在[1]的基础上讨论叙列空间上二级囿变函数相应的凸函数分解,二级变差函数以及两个二级囿变函数的运算等问题,这也就是§1.§2再引进二级强囿变与二级弱囿变等概念。最后的§3研究可距离化和可赋范的完备(按kthe意义:λ=λ)空间,即(KF)和(KB)空间上的二级     

叙列空间上的二级囿变函数I

The Stieltjes integral and bounded variation function of order 2 were introduced by Min, S. H., Guo Dajun and etc. One of the authors introduced the notion of bounded variation function on the sequence spaces, again. In this paper we consider the variation function of order 2 and the bounded variation function of order 2 from [α, b] to sequence space λ .