Topological components of the set of composition operators on \(H^\infty(B_N)\) (Q1423752)

This paper gives a geometric condition for when two composition operators lie in the same component of \(H^{\infty}_N,\) characterizes when two composition operators have compact difference, and shows that the components under the essential operator norm coincide with those under the usual operator norm. At last, the author provides a class of examples, extensions to the Bloch space, and suggestions for further study.