Weighted composition operators as Daugavet centers
Abstract
We investigate the norm identity \|uCφ + T\| = \|u\|∞ + \|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) C(S). We also give a characterization of such weighted composition operator acting on the disk algebra A(D).
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