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赋拟范线性空间及一致有界定理
QUASI-NORMED LINEAR SPACES AND THE UNIFORMLY BOUNDED THEOREM
【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。
【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.
- 【文献出处】 哈尔滨师范大学自然科学学报 ,Natural Science Journal of Harbin Normal University , 编辑部邮箱 ,1993年01期
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