| p－Banach空间中的级数与囿变函数 |
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| 引用本文： | 王晶昕. p－Banach空间中的级数与囿变函数[J]. 辽宁师范大学学报(自然科学版), 1996, 0(3) |
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| 作者姓名： | 王晶昕 |
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| 作者单位： | 辽宁师范大学数学系 |
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| 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；取值于ｐ－Ｂａｎａｃｈ空间Ｘ的抽象函数之囿变与ｐ－弱囿变等价当且仅当Ｘ中的级数之绝对收敛与ｐ－弱绝对敛等价
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| 关 键 词： | p－Banch空间，绝对收敛，p－弱绝对收敛，囿变，p－囿变 |
ON SERIES AND BOUNDED VARIATION FUNCTIONS IN p -BANACH SPACES |
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| Wang Jingxin. ON SERIES AND BOUNDED VARIATION FUNCTIONS IN p -BANACH SPACES[J]. Journal of Liaoning Normal University(Natural Science Edition), 1996, 0(3) |
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| Authors: | Wang Jingxin |
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| Abstract: | 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. |
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| Keywords: | p -Banach space absolutely convergent p -weakly convergent bounded variation p -weakly bounded variation |
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