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Weighted composition operators as Daugavet centers

Romain Demazeux
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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 $T : C(S)\rightarrow C(S)$. We also give a characterization of such weighted composition operator acting on the disk algebra $A(D).$

Dates and versions

hal-00442267 , version 1 (18-12-2009)

Identifiers

• HAL Id : hal-00442267 , version 1
• ARXIV :

Cite

Romain Demazeux. Weighted composition operators as Daugavet centers. 2009. ⟨hal-00442267⟩

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