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- W2313028298 abstract "A Banach space X has the Banach-Saks property if every sequence ( x n ) in X converging weakly to x has a subsequence ( x nk ) with (1/ p )Σ k = 1 x nk converging in norm to x . Originally, Banach and Saks [2] proved that the spaces L p ( p > 1) have this property. Kakutani [4] generalized their result by proving this for every uniformly convex Banach space, and in [9] Szlenk proved that the space L 1 also has this property." @default.
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- W2313028298 date "1974-02-01" @default.
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- W2313028298 title "The Banach-Saks Theorem in <i>C</i>(<i>S</i>)" @default.
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- W2313028298 doi "https://doi.org/10.4153/cjm-1974-009-9" @default.
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