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Gallardo Gutiérrez, Eva A. and González, María J. and Nieminen, Pekka J. and Saksman, Eero (2008) On the connected component of compact composition operators on the Hardy space. Advances in Mathematics, 219 (3). pp. 986-1001. ISSN 0001-8708
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Official URL: http://www.sciencedirect.com/science/article/pii/S0001870808001564
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Composition operators; Aleksandrov-Clark measures; Compact operator |
| Subjects: | Sciences > Mathematics > Mathematical analysis |
| ID Code: | 21047 |
| Deposited On: | 24 Apr 2013 11:23 |
| Last Modified: | 10 Aug 2018 11:32 |
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