Compact endomorphisms of H infinity of D

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When G is a region in the complex plane, compact composition operators on the uniform algebra of bounded analytic functions on G and the spectra of these operators were described by D. Swanton, Compact composition operators on B(D), Proc. Amer. Math. Soc. 56 (1976). In this short note we characterize all compact endomorphisms, not necessarily those induced by composition operators, on the uniform algebra of bounded analytic functions on the open unit disc, and determine their spectra. This research was supported by EPSRC grant GR/M31132
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Functional Analysis, 46J15;47B48

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http://salesiana.dossiersoluciones.com/handle/123456789/77594

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9810131
 http://arxiv.org/abs/math/9810131

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arXiv