The σ-duals of Sequence Spaces  

序列空间的σ-对偶(英文)

作　　者：李龙锁[1] 吴雅娟[2] 赵玟亨 

机构地区：[1]哈尔滨工业大学数学系,黑龙江哈尔滨150006 [2]大庆石油学院计算机科学系,黑龙江安达151400 [3]金利乌工科大学校数学系

出　　处：《Chinese Quarterly Journal of Mathematics》2001年第2期30-36,共7页数学季刊（英文版）

摘　　要：In this paper, the σ_duals of two classes important sequence spaces l 1(X) and l ∞(X) are investigated, and shows that some topology properties of locally convex space (X,τ) can be characterized by the σ _duals. The criterions of bounded sets in l 1(X) and l ∞(X ) with respect to the weak topologies generated by the σ _duals are obtained. Furthermore, a Schur type result and an automatic continuity theorem of matrix transformation are established.

关 键 词：sequence spaces σ_duals subseries convergence 

分 类 号：O177.3[理学—数学]