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On the connected component of compact composition operators on the Hardy space

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Gallardo Gutiérrez, Eva A. y González, María J. y Nieminen, Pekka J. y 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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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0001870808001564


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Resumen

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.


Tipo de documento:Artículo
Palabras clave:Composition operators; Aleksandrov-Clark measures; Compact operator
Materias:Ciencias > Matemáticas > Análisis matemático
Código ID:21047
Depositado:24 Abr 2013 11:23
Última Modificación:10 Aug 2018 11:32

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