Abstract
Let $\varphi,\psi$ be the analytic self-maps of the unit ball ${\mathbb B}$, we characterize the Hilbert-Schmidt differences of two composition operator $C_\varphi$ and $C_\psi$ on weighted Bergman space $A_\alpha^2$, and give some conclusions about the topological structure of $\mathcal{C}(A_\alpha^2)$, the space of all bounded composition operators on $A_\alpha^2$ endowed with operator norm.
Citation
Li Zhang. Ze-Hua Zhou. "Hilbert-Schmidt differences of composition operators between the weighted Bergman spaces on the unit ball." Banach J. Math. Anal. 7 (1) 160 - 172, 2013. https://doi.org/10.15352/bjma/1358864556
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