【摘要】 Banach 空间中的Orlicz—Pettis定理是泛函分析中的一个著名定理.由于其应用的广泛性,近年来,许多数学工作者对其各种形式进行了研究.见文[1,2,3].1991年,李容录[3]证明了这一定理在局部凸拓扑线性空间上的Mackey强拓扑下成立.本文证明了这一定理在一般的局部凸空间上仍成立,从而使李先生的结果成为本文的一种特例.更多还原

【Abstract】 Orlicz-Pettis theorem of Banach space is a famous one in functional analy-sis. For it is used widely. Recently. Many mathematicans have been studying the differ-ent forms. See the article [1, 2, 3]. In 1991, Mr Li Ronglu proved that it exists in Mackey strong top of part top Linear space. Our article will prove that it exists in general part top space. So Mr Li’s Yesult is the special example of our artice.更多还原