Banach Spaces with Weak Sequentially Compact Dual Balls
Alaoglu’s theorem ensures that every bounded sequence (x n * ) in X* has a weak* convergent subnet. When can one actually extract a weak* convergent subsequence? As yet, no one knows. In this chapter a few of the most attractive conditions assuring the existence of such subsequences are discussed.
KeywordsBanach Space Linear Span Convergent Subsequence Separable Banach Space Compact Hausdorff Space
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