Universidad Complutense de Madrid
E-Prints Complutense

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

Impacto

Downloads

Downloads per month over past year

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

[img] PDF
Restringido a Repository staff only

181kB

Official URL: http://www.sciencedirect.com/science/article/pii/S0001870808001564


URLURL Type
http://www.sciencedirect.com/Publisher


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

Origin of downloads

Repository Staff Only: item control page