Abstract of a paper by Romain Demazeux
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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0912.4032 or http://arXiv.org/abs/0912.4032 or by email in unzipped form by transmitting an empty message with subject line uget 0912.4032 or in gzipped form by using subject line get 0912.4032 to: math@arXiv.org.
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alspach@fourier.math.okstate.edu