Extremal Non-Compactness of Composition Operators with Linear Fractional Symbol

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dc.creatorBasor, Estelle L.
dc.creatorRetsek, Dylan Q.
dc.date2005-07-25
dc.date.accessioned2026-07-07T05:21:59Z
dc.date.available2026-07-07T05:21:59Z
dc.descriptionWe realize norms of most composition operators acting on the Hardy space with linear fractional symbol as roots of hypergeometric functions. This realization leads to simple necessary and sufficient conditions on the symbol to exhibit extremal non-compactness, establishes equivalence of cohyponormality and cosubnormality of composition operators with linear fractional symbol, and yields a complete classification of those linear fractional that induce composition operators whose norms are determined by the action of the adjoint on the normalized reproducing kernels in the Hardy space.
dc.identifierhttps://arxiv.org/abs/math/0507518
dc.identifierhttp://arxiv.org/abs/math/0507518
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75893
dc.subjectComplex Variables
dc.subjectFunctional Analysis
dc.subject47B33
dc.titleExtremal Non-Compactness of Composition Operators with Linear Fractional Symbol
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