This is an announcement for the paper "A bicommutant theorem for dual Banach algebras" by Matthew Daws.

Abstract: A dual Banach algebra is a Banach algebra which is a dual space, with the multiplication being separately weak$^*$-continuous. We show that given a unital dual Banach algebra $\mc A$, we can find a reflexive Banach space $E$, and an isometric, weak$^*$-weak$^*$-continuous homomorphism $\pi:\mc A\to\mc B(E)$ such that $\pi(\mc A)$ equals its own bicommutant.

Archive classification: math.FA

Mathematics Subject Classification: 46H05, 46H15, 47L10

Remarks: 6 pages

The source file(s), dba.tex: 23544 bytes, is(are) stored in gzipped form as 1001.1146.gz with size 8kb. The corresponding postcript file has gzipped size 84kb.

Submitted from: matt.daws@cantab.net

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http://front.math.ucdavis.edu/1001.1146

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http://arXiv.org/abs/1001.1146

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uget 1001.1146

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