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arXiv · 0912.4032

Weighted composition operators as Daugavet centers

Romain Demazeux
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Abstract

We investigate the norm identity $\|uC_ϕ+ T\| = \|u\|_\infty + \|T\|$ 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 $A(D).$

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Romain Demazeux. 2009-12-20. Weighted composition operators as Daugavet centers. https://arxiv.org/abs/0912.4032

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