| s-乘数收敛及Orlicz-Pettis型定理 |
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| 引用本文： | 文松龙,崔成日,李容录.s-乘数收敛及Orlicz-Pettis型定理[J].数学学报,2000,43(2):275-282. |
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| 作者姓名： | 文松龙 崔成日 李容录 |
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| 作者单位： | 1. 延边大学师范学院数学系吉林延吉 133002
2. 哈尔滨工业大学数学系黑龙江哈尔滨 150001 |
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| 基金项目： | 吉林省教委自然科学基金(9867);
黑龙江省自然科学基金(991290-125) |
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| 摘 要： | 本文给出了在局部凸空间中与弱拓扑具有相同的ｓ－乘数收敛点列的最强的可允许极拓扑Ｆ（μ_ｓ）的刻划．并给出Ｆ（μｓ）＝β（Ｘ，Ｘ＇）的充分条件和必要条件，由此证明了ｃ０（或ｌｐ，０＜ｐ＜∞）－乘数收敛性是对可允许极拓扑全体而言的不变性，
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| 关 键 词： | s-乘数收敛 可允许极拓扑 全程不变性 |
| 文章编号： | 0583-1431(2000)02-0275-08 |
| 修稿时间： | 1998年8月7日 |
s-Multiplier Convergence and Theorems of the Orlicz-Pettis-Type |
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| WEN Song-long,CUI Cheng-ri,LI Rong-lu.s-Multiplier Convergence and Theorems of the Orlicz-Pettis-Type[J].Acta Mathematica Sinica,2000,43(2):275-282. |
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| Authors: | WEN Song-long CUI Cheng-ri LI Rong-lu |
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| Institution: | WEN Song-long; CUI Cheng-ri (Department of Mathematics, Teachers College Yanbian University, yanji 133002, P. R. Chian ) LI Rong-lu (Department of Mathematics, Harbin institute of Technology, Harbin 150001, P. R. China) |
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| Abstract: | In this paper, we give the strongest admissible polar topology F(Us) for which it has the same s-multiplier convergent sequence as weak topology in the locally convex space. Also we obtain the sufficient condition and necessary condition for Thus, we prove that c0 (or lp, 0 < p < )- multiplier convergence is invariants with respect to all admissible polar topology. |
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| Keywords: | s-multiplier convergence Admissible polar topology Full invariability |
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