JOURNAL ARTICLE
Linear relations in the Calkin algebra for composition operators
Thomas KrieteJennifer Moorhouse
Year: 2007 Journal: Transactions of the American Mathematical Society Vol: 359 (6)Pages: 2915-2944 Publisher: American Mathematical Society
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?
Keywords:
Mathematics Composition (language) Composition operator Algebra over a field Unit disk Pure mathematics Operator theory Unit (ring theory) Space (punctuation) Linear operators Finite-rank operator Discrete mathematics Banach space Mathematical analysis Mathematics education Computer science
Metrics
74
Cited By
7.49
FWCI (Field Weighted Citation Impact)
29
Refs
0.98
Citation Normalized Percentile
Is in top 1%
Is in top 10%
Citation History
Topics
Holomorphic and Operator Theory
Physical Sciences → Mathematics → Applied Mathematics
Advanced Topics in Algebra
Physical Sciences → Mathematics → Algebra and Number Theory
Algebraic and Geometric Analysis
Physical Sciences → Mathematics → Applied Mathematics
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