Composition operators within singly generated composition C*-algebras

Details Composition operators within singly generated composition C*-algebras Composition operators within singly generated composition C*-algebras

2006-10-02

arxiv.org/abs/math/0610077v2

Mathematics

Functional Analysis

21 pages; minor revision of earlier version

Scientific paper

Let $\phi$ be a linear-fractional self map of the open unit disk, not an
automorphism, such that $\phi(\zeta)=\eta$ for distinct points $\zeta,\eta$ in
the unit circle. We consider the question of which composition operators lie in
the unital C*-algebra generated by the composition operator $C_{\phi}$ and the
ideal of compact operators, acting on the Hardy space $H^2$.

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