A new proof of James' sup theorem
Marianne Morillon
Abstract
We provide a new proof of James' sup theorem for (non necessarily separable) Banach spaces. One of the ingredients is the following generalization of a theorem of Hagler and Johnson (1977) : "If a normed space E does not contain any asymptotically isometric copy of 1(), then every bounded sequence of E' has a normalized block sequence pointwise converging to 0".
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