Abstract of a paper by Hermann Pfitzner
This is an announcement for the paper "Boundaries for Banach spaces determine weak compactness" by Hermann Pfitzner. Abstract: A boundary for a Banach space is a subset of the dual unit sphere with the property that each element of the Banach space attains its norm on an element of that boundary. Trivially, the pointwise convergence with respect to such a boundary is coarser than the weak topology on the Banach space. Godefroy's Boundary Problem asks whether nevertheless both topologies have the same bounded compact sets. This paper contains the answer in the positive. Archive classification: math.FA Mathematics Subject Classification: 46B20 The source file(s), boundary.tex: 30948 bytes, is(are) stored in gzipped form as 0807.2810.gz with size 10kb. The corresponding postcript file has gzipped size 76kb. Submitted from: Hermann.Pfitzner@univ-orleans.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0807.2810 or http://arXiv.org/abs/0807.2810 or by email in unzipped form by transmitting an empty message with subject line uget 0807.2810 or in gzipped form by using subject line get 0807.2810 to: math@arXiv.org.
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alspach@fourier.math.okstate.edu