This is an announcement for the paper "Weighted composition operators as Daugavet centers" by Romain Demazeux.

Abstract: We investigate the norm identity $|uC_\varphi + T| = |u|_\infty + |T|$ for classes of operators on $C(S)$, where $S$ is a compact Hausdorff space without isolated point, and characterize those weighted composition operators which satisfy this equation for every weakly compact operator $T : C(S)\to C(S)$. We also give a characterization of such weighted composition operator acting on the disk algebra $A(D).$

Archive classification: math.FA

Mathematics Subject Classification: 47B33, 47B38,46E15

Remarks: 18 pages

The source file(s), Weighted_composition_operators_as_Daugavet_centers.tex: 57655 bytes, is(are) stored in gzipped form as 0912.4032.gz with size 15kb. The corresponding postcript file has gzipped size 112kb. Submitted from: romain.demazeux@gmail.com

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