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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Linear relations in the Calkin algebra for composition operators


Authors: Thomas Kriete and Jennifer Moorhouse
Journal: Trans. Amer. Math. Soc. 359 (2007), 2915-2944
MSC (2000): Primary 47B33; Secondary 47B32
Published electronically: January 4, 2007
MathSciNet review: 2286063
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Abstract: We consider this and related questions: When is a finite linear combination of composition operators, acting on the Hardy space or the standard weighted Bergman spaces on the unit disk, a compact operator?


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Additional Information

Thomas Kriete
Affiliation: Department of Mathematics, University of Virginia, Charlottesville, Virginia 22904
Email: tlk8q@virginia.edu

Jennifer Moorhouse
Affiliation: Department of Mathematics, Colgate University, Hamilton, New York 11346
Email: jmoorhouse@mail-colgate.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-07-04166-9
PII: S 0002-9947(07)04166-9
Keywords: Composition operator, Hardy space, Bergman spaces, linear relations modulo the compact operators.
Received by editor(s): July 14, 2004
Received by editor(s) in revised form: July 7, 2005
Published electronically: January 4, 2007
Additional Notes: Work of the first author was supported in part by a sesquicentennial associateship at the University of Virginia.
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.