弱紧集与Orlicz空间(英文)

Weakly Compact Sets and Orlicz Spaces

英文关键词:Compact sets  weak topology  Orlicz space

中文摘要:

      本文圆满完善了[1]的结果，并由此给出了Ｏｒｌｉｃｚ空间自反性与Ｓｈｕｒ定理的新证明。

英文摘要:

      In this paper, We give the simple criteria of weakly compact sets in L₁ and l₁, which perfects Auto's result^[1]， Also as a corollary, we get Shur's theorem， In view of weak compactness, we give another proof of the reflexivity of Orlicz spaces，