Resumen de A new proof of James' Sup Theorem

Marianne Morillon

• 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 : "If a normed space E does not contain any asymptotically isometric copy of `1, then every bounded sequence of E0 has a normalized `1-block sequence pointwise converging to 0".