This is an announcement for the paper "On weakly extremal structures in Banach spaces" by J. Talponen.
Abstract: 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. An example of a Banach space, which is midpoint locally uniformly rotund but not weakly locally uniformly rotund is given.
Archive classification: Functional Analysis
Mathematics Subject Classification: 46B20; 46A20
Remarks: 12 pages
The source file(s), wg.tex: 45886 bytes, is(are) stored in gzipped form as 0701009.gz with size 13kb. The corresponding postcript file has gzipped size 103kb.
Submitted from: talponen@cc.helsinki.fi
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