Linear relations in the Calkin algebra for composition operators

Kriete, Thomas; Moorhouse, Jennifer

doi:10.1090/S0002-9947-07-04166-9

Linear relations in the Calkin algebra for composition operators
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by Thomas Kriete and Jennifer Moorhouse PDF

Trans. Amer. Math. Soc. 359 (2007), 2915-2944 Request permission

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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