%0 Journal Article
%A Gallardo Gutiérrez, Eva Antonia
%A González, María J.
%A Nieminen, Pekka J.
%A Saksman, Eero
%T On the connected component of compact composition operators on the Hardy space
%D 2008
%@ 0001-8708
%U https://hdl.handle.net/20.500.14352/50595
%X We show that there exist non-compact composition operators in the connected component of the compact ones on the classical Hardy space H-2. This answers a question posed by Shapiro and Sundberg in 1990. We also establish an improved version of a theorem of MacCluer, giving a lower bound for the essential norm of a difference of composition operators in terms of the angular derivatives of their symbols. As a main tool we use Aleksandrov-Clark measures.
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