Compact composition operators not in the Schatten classes-Reference-Cited by-同舟云学术

Compact composition operators not in the Schatten classes

Published:2005-12-16 Issue:7 Volume:134 Page:1947-1953
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Jones Matthew

Abstract

We provide a direct construction of the mapping φ \varphi given by Tom Carroll and Carl Cowen in ‘Compact composition operators not in the Schatten classes’ (1991, in J. Operator Theory 26).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-07/S0002-9939-05-08198-0/S0002-9939-05-08198-0.pdf

Reference8 articles.

1. McGraw-Hill Series in Higher Mathematics;Ahlfors, Lars V.,1973

2. Compact composition operators not in the Schatten classes;Carroll, Tom;J. Operator Theory,1991

3. Composition operators on Hilbert spaces of analytic functions: a status report;Cowen, Carl C.,1990

4. Angular derivatives and compact composition operators on the Hardy and Bergman spaces;MacCluer, Barbara D.;Canad. J. Math.,1986

5. [M] Marshall, D. E., ‘Angular derivatives and Lipschitz majorants’, preprint

Cited by 9 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A brief note on compactness of composition operators on H2;Complex Variables and Elliptic Equations;2017-12-22

2. Decay rates for approximation numbers of composition operators;Journal d'Analyse Mathématique;2015-01

3. Contact points and Schatten composition operators;Mathematische Zeitschrift;2014-09-20

4. Composition operators with univalent symbol in Schatten classes;Journal of Functional Analysis;2014-02

5. Compact composition operators on the Dirichlet space and capacity of sets of contact points;Journal of Functional Analysis;2013-02