数学研究
數學研究
수학연구
JOURNAL OF MATHEMATICAL STUDY
2009年
4期
383-388
,共6页
随机局部凸模%随机可允许结构%M-凸%等度几乎处处有界集
隨機跼部凸模%隨機可允許結構%M-凸%等度幾乎處處有界集
수궤국부철모%수궤가윤허결구%M-철%등도궤호처처유계집
Random locally convex module%Random admissible structure%M-convex%equi-a.e.bounded set
对任意随机局部凸模(S,{x~d}_(d∈D)),本文证明了{x~d}_(d∈D)可表示成关于自然的随机对偶对<S,S*>的-个随机可允许结构.
對任意隨機跼部凸模(S,{x~d}_(d∈D)),本文證明瞭{x~d}_(d∈D)可錶示成關于自然的隨機對偶對<S,S*>的-箇隨機可允許結構.
대임의수궤국부철모(S,{x~d}_(d∈D)),본문증명료{x~d}_(d∈D)가표시성관우자연적수궤대우대<S,S*>적-개수궤가윤허결구.
In this paper, we prove that a random locally convex module (S,{X~d}_(d∈D)), {X~d}_(d∈D)can be expressed as a random admissible structure with respect to the natural random duality <S,S*>.
