p－Banach空间中的级数与囿变函数  

ON SERIES AND BOUNDED VARIATION FUNCTIONS IN p -BANACH SPACES

作　　者：王晶昕[1] 

机构地区：[1]辽宁师范大学数学系

出　　处：《辽宁师范大学学报（自然科学版）》1996年第3期187-191,共5页Journal of Liaoning Normal University:Natural Science Edition

摘　　要：证明了赋ｐ－范向量空间Ｘ完备当且仅当其中的绝对收敛级数必收敛；It is proved that p -normed vector space X is complete if and only if absolutely convergent series is convergent,and that in p -Banach spaces,abstract function's bounded variation is equivalent with its p -weakly bounded variation if and only if series's absolutely convergent is equivalent with its p -weakly absolufely convergent.

关 键 词：绝对收敛 巴拿赫空间 囿变函数 级数 

分 类 号：O177.2[理学—数学]