arXiv subjects

Barbara D. MacCluer

Publications and source records attributed to Barbara D. MacCluer.

2 recordsLinked to original sources

arXiv2010

Compact differences of composition operators

When $φ$ and $ψ$ are linear-fractional self-maps of the unit ball $B_N$ in ${\mathbb C}^N$, $N\geq 1$, we show that the difference $C_φ-C_ψ$ cannot be non-trivially compact on either the Hardy space $H^2(B_N)$ or any weighted Bergman space $A^2_α(B_N)$. Our arguments emphasize geometrical properties of the inducing maps $φ$ and $ψ$.

math.FA↗

arXiv2006

Toeplitz-Composition C*-Algebras

Let $ζ$ and $η$ be distinct points on the unit circle and suppose that $ϕ$ is a linear-fractional self-map of the unit disk D, not an automorphism, with $ϕ(ζ)=η$. We describe the C*-algebra generated by the associated composition operator $C_ϕ$ and the shift operator, acting on the Hardy space on D.

math.OA↗