A new proof of James' sup theorem

Details A new proof of James' sup theorem A new proof of James' sup theorem

2005-05-10

arxiv.org/abs/math/0505176v1

Mathematics

Functional Analysis

Scientific paper

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 $\ell^1(\IN)$, then every bounded sequence
of $E'$ has a normalized block sequence pointwise converging to 0".

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