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- W1963883774 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 . 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.
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- W1963883774 date "2008-10-01" @default.
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- W1963883774 title "On the connected component of compact composition operators on the Hardy space" @default.
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- W1963883774 doi "https://doi.org/10.1016/j.aim.2008.06.005" @default.
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