Spectra of Weighted Composition Operators on Analytic Function Spaces
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DOI: 10.1007/s00009-019-1465-0
Abstract: Let E be a complex Banach space with open unit ball $$B_E.$$BE. For analytic self-maps $$\varphi $$φ of $$B_E$$BE with $$\varphi (0) =0,$$φ(0)=0, we investigate the spectra of weighted composition operators $$uC_\varphi $$uCφ acting on… read more here.
Keywords: weighted composition; analytic function; operators analytic; spectra weighted ... See more keywords
Essential spectra of weighted composition operators induced by elliptic automorphisms
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DOI: 10.1007/s00209-021-02880-x
Abstract: The spectrum of a weighted composition operator $C_{\psi, \varphi}$ who is induced by an automorphism has been investigated for over fifty years. However, many results are got only under the condition that the weight function… read more here.
Keywords: essential spectra; weighted composition; spectra weighted; composition operators ... See more keywords