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Weighted composition operators as Daugavet centers
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 $A(D).$
Cited literature [13 references]
https://hal-univ-artois.archives-ouvertes.fr/hal-00442267
Contributor : Romain Demazeux <>
Submitted on : Friday, December 18, 2009 - 9:22:39 PM
Last modification on : Sunday, December 20, 2009 - 6:30:19 PM
Document(s) archivé(s) le : Thursday, June 17, 2010 - 10:03:37 PM
Contributor : Romain Demazeux <>
Submitted on : Friday, December 18, 2009 - 9:22:39 PM
Last modification on : Sunday, December 20, 2009 - 6:30:19 PM
Document(s) archivé(s) le : Thursday, June 17, 2010 - 10:03:37 PM
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