[Banach] Abstract of a paper by Antonio Aviles

This is an announcement for the paper "Automatic norm continuity of weak* homeomorphisms" by Antonio Aviles.

Abstract: We prove that in a certain class E of nonseparable Banach spaces the norm topology of the dual ball is definable in terms of its weak* topology. Thus, any weak* homeomorphism between duals balls of spaces in E is automatically norm-continuous.

Archive classification: math.FA math.GN

Mathematics Subject Classification: 46B26

Remarks: To appear in Houston J. Math

The source file(s), weaknormH.tex: 27312 bytes, is(are) stored in gzipped form as 0903.0157.gz with size 8kb. The corresponding postcript file has gzipped size 67kb.

Submitted from: avileslo@um.es

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http://front.math.ucdavis.edu/0903.0157

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http://arXiv.org/abs/0903.0157

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