Essential Spectrum and Fredholm Index for Certain Composition Operators

Christopher J. Yakes

doi:10.7146/math.scand.a-23302

Essential Spectrum and Fredholm Index for Certain Composition Operators

Authors

Christopher J. Yakes

DOI:

https://doi.org/10.7146/math.scand.a-23302

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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Published

2016-03-07

How to Cite

Yakes, C. J. (2016). Essential Spectrum and Fredholm Index for Certain Composition Operators. MATHEMATICA SCANDINAVICA, 118(1), 152–160. https://doi.org/10.7146/math.scand.a-23302