Composition operators within singly generated composition C*-algebras

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Let $ϕ$ be a linear-fractional self map of the open unit disk, not an automorphism, such that $ϕ(ζ)=η$ for distinct points $ζ,η$ in the unit circle. We consider the question of which composition operators lie in the unital C*-algebra generated by the composition operator $C_ϕ$ and the ideal of compact operators, acting on the Hardy space $H^2$.
21 pages; minor revision of earlier version

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Functional Analysis, Operator Algebras, 47B33

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http://salesiana.dossiersoluciones.com/handle/123456789/172815

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610077
 http://arxiv.org/abs/math/0610077

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arXiv