Abstract
Let K be a weakly compact, convex subset of a Banach space X with normal structure. Brodskii and Milman proved that there exists a point p ∈ K which is fixed under all isometries of K onto K. Suppose now WCC(X) is the collection of all non-empty weakly compact convex subsets of X. We shall define a certain weak topology Tw on WCC(X) and have the above-mentioned result extended to the hyperspace (WCC(X), Tw)
Citation
Thakyin Hu. Jui-Chi Huang. "WEAK AND WEAK* TOPOLOGIES AND BRODSKII-MILMAN’S THEOREM ON HYPERSPACES." Taiwanese J. Math. 13 (2A) 459 - 466, 2009. https://doi.org/10.11650/twjm/1500405349
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