Geodesic
The Essential Norm and Spectrum of a Weighted Composition Operator on H∞(BN)
Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 3 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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For φ a holomorphic self-map of the unit ball B N of ℂ N , and u ∈ H ∞ ( B N ) (the Banach space of bounded holomorphic functions on B N ), we investigate the essential norm and spectrum of the weighted composition operator uC φ acting on the space H ∞ ( B N ). For φ univalent, not unitary on any slice, and fixing a point of B N , we obtain a complete characterization of the spectrum of uC φ .
Classification : Primary: 47B38; Secondary: 46E15, 32A37. 
@article{BMMS_2010_33_3_a15,
     author = {Cheng Yuan and Ze-Hua Zhou},
     title = {The {Essential} {Norm} and {Spectrum} of a {Weighted} {Composition} {Operator} on {H\ensuremath{\infty}(BN)}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2010},
     volume = {33},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2010_33_3_a15/}
}
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Cheng Yuan; Ze-Hua Zhou. The Essential Norm and Spectrum of a Weighted Composition Operator on H∞(BN). Bulletin of the Malaysian Mathematical Society, Tome 33 (2010) no. 3. http://geodesic.mathdoc.fr/item/BMMS_2010_33_3_a15/