Linear relations in the Calkin algebra for composition operators

By Thomas L. Kriete, Jennifer Moorhouse. 2006

76 citations recorded by the source corpus.

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?

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/d0ea669cb43b20476ec7181606c97d7727e4f77c

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In Algebra and Number Theory

In Applied Mathematics

Citations in the corpus

Compact Differences of Composition Operators on the Bergman Spaces Over the Ball (2013, methodology): “More recently, Kriete and Moorhouse [10] extended their study to general linear combinations.”
On the connected component of compact composition operators on the Hardy space (2007, methodology): “The general form (A) of the Shapiro–Sundberg conjecture has recently been answered negatively by Moorhouse and Toews [18] and Bourdon [4].”
Compact Differences of Composition Operators on Bloch and Lipschitz Spaces (2007, background): “On the other hand, the condition of Corollary 1.2 is known to guarantee the compactness of T on various spaces, such as (weighted) Bergman and Diriclet spaces and Hardy spaces (see [16], [ 9 ]).”