<p>In this paper we first characterize compact weighted composition operators acting on spaces of continuous functions of bounded variation on [<i>a</i>,&#xa0;<i>b</i>]. Then, based on this characterization, we determine the spectra and the eigenfunctions of these operators.</p>

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Compact weighted composition operators on spaces of continuous functions of bounded variation

  • Maliheh Hosseini

摘要

In this paper we first characterize compact weighted composition operators acting on spaces of continuous functions of bounded variation on [ab]. Then, based on this characterization, we determine the spectra and the eigenfunctions of these operators.