Geodesic
Spectra of weighted composition operators on algebras of analytic functions on Banach spaces
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 371-381.

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Let $E$ be a complex Banach space, with the unit ball $B_E$. We study the spectrum of a bounded weighted composition operator $uC_{\varphi }$ on $H^\infty (B_E)$ determined by an analytic symbol $\varphi $ with a fixed point in $B_E$ such that $\varphi (B_E)$ is a relatively compact subset of $E$, where $u$ is an analytic function on $B_E$.
DOI : 10.1007/s10587-011-0081-3
Classification : 32A37, 46E15, 47B33, 47B38
Keywords: bounded analytic function spaces; weighted composition operators; essential norm; spectra 
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     title = {Spectra of weighted composition operators on algebras of analytic functions on {Banach} spaces},
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     pages = {371--381},
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Yuan, Cheng; Zhou, Ze-Hua. Spectra of weighted composition operators on algebras of analytic functions on Banach spaces. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 371-381. doi : 10.1007/s10587-011-0081-3. http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0081-3/

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