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• W2953117103 abstract "We show that there exist non-compact composition operators in the connected component of the compact ones on the classical Hardy space $H^2$ on the unit disc. 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." @default.
• W2953117103 created "2019-06-27" @default.
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• W2953117103 date "2007-06-18" @default.
• W2953117103 modified "2023-10-01" @default.
• W2953117103 title "On the connected component of compact composition operators on the Hardy space" @default.
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• W2953117103 hasPublicationYear "2007" @default.
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