Weak topology and Markov--Kakutani theorem on hyperspace

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題名:	Weak topology and Markov--Kakutani theorem on hyperspace
作者:	Hu, Thakyin;Huang, Jui-chi
貢獻者:	淡江大學數學學系
日期:	1998
上傳時間:	2010-01-28 07:35:01 (UTC+8)
出版者:	Debrecen, Hungaria: Institute of Mathematics, University of Debrecen
摘要:	Let K be a weakly compact convex subset of a Banach space X. One version of the Markov-Kakutani Theorem states that if ℱ: (K, τw) → (K, τw) is a commutative family of continuous linear transformations, then ℱ has a common fixed point in K. Suppose now CC(X) is the collection of all non-empty compact convex subsets of X. We shall define a certain weak topology script J signw on CC(X) and get the above-mentioned version of the Markov-Kakutani Theorem extended to the hyperspace (CC(X), script J signw).
關聯:	Publicationes mathematicae 53(1-2), pp.113-117
顯示於類別:	[數學學系暨研究所] 期刊論文

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