Essential Spectrum and Fredholm Index for Certain Composition Operators

• Autores: Christopher J. Yakes
• Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 118, Nº 1, 2016, págs. 152-160
• Idioma: inglés
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• Resumen

  • 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.