| 赋拟范线性空间及一致有界定理 |
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| 引用本文： | 梁兴昌,闫革兴,马麒麟.赋拟范线性空间及一致有界定理[J].哈尔滨师范大学自然科学学报,1993(1). |
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| 作者姓名： | 梁兴昌 闫革兴 马麒麟 |
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| 作者单位： | 哈尔滨师范大学，黑龙江大学，哈尔滨师范大学 |
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| 摘 要： | 本文在1]的基础上给出一颊拓扑线性空间--r(>0)次幂赋拟范线性空间;建立拓扑线性空间可赋拟范化的条件;确立赋拟范空间上连续线性算子族的一致有界定理及赋拟范线性空间的完备性定理等。
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| 关 键 词： | 赋拟范线性空间 连续线性算子 一致有界定理 |
QUASI-NORMED LINEAR SPACES AND THE UNIFORMLY BOUNDED THEOREM |
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| Liang Xingchang Yan Gexing Ma Qilin.QUASI-NORMED LINEAR SPACES AND THE UNIFORMLY BOUNDED THEOREM[J].Natural Science Journal of Harbin Normal University,1993(1). |
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| Authors: | Liang Xingchang Yan Gexing Ma Qilin |
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| Institution: | Liang Xingchang Yan Gexing Ma Qilin(Harbin Normal University)(Heilongjang University)(Harbin Normal University) |
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| Abstract: | The aim in this paper is as follows:(1) To give the defmition of a quasinormed linear space and conditions of a quasi-normed space for topological linear spaces.(2) To establish an unitormly bounded theorem for a family of continuous linear operators.(3) To establish a Complete theorem for quasi-normed linear spaces. |
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| Keywords: | Quasi-normed linear space Continuous linear operator |
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