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Essential Spectrum and Fredholm Index for Certain Composition Operators

Christopher J. Yakes

Abstract


We investigate a composition operator on $H^\infty(U)$, $U$ a subdomain of the open unit disk, for which the essential resolvent has infinitely many components, and for which the Fredholm index of the resolvent operator attains all nonnegative integer values.

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DOI: http://dx.doi.org/10.7146/math.scand.a-23302

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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