On weakly extremal structures in Banach spaces

Details On weakly extremal structures in Banach spaces On weakly extremal structures in Banach spaces

2007-01-02

arxiv.org/abs/math/0701009v3

Mathematics

Functional Analysis

7 pages

Scientific paper

This paper deals with the interplay of the geometry of the norm and the weak
topology in Banach spaces. Both dual and intrinsic connections between weak
forms of rotundity and smoothness ared discussed. Weakly exposed points, weakly
locally uniformly rotund spaces, smoothness, duality and the interplay of all
the above are studied.

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