We establish a condition that guarantees isolation in the space of composition operators acting between H p (B N ) and H q (B N ), for 0 < p ≤ ∞, 0 < q < ∞, and N ≥ 1. This result will allow us, in certain cases where 0 < q < p ≤ ∞, completely to characterize the component structure of this space of operators.
Hammond, Christopher, and B. D. MacCluer, 2005: Isolation and component structure in spaces of composition operators Integral Equations Operator Theory, 53, no. 2, 269–285.
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