Norms and spectral radii of linear fractional composition operators on the ball

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dc.creatorJury, Michael T.
dc.date2007-07-23
dc.date.accessioned2026-07-07T08:19:43Z
dc.date.available2026-07-07T08:19:43Z
dc.descriptionWe give a new proof that every linear fractional map of the unit ball induces a bounded composition operator on the standard scale of Hilbert function spaces on the ball, and obtain norm bounds analogous to the standard one-variable estimates. We also show that Cowen's one-variable spectral radius formula extends to these operators. The key observation underlying these results is that every linear fractional map of the ball belongs to the Schur-Agler class.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0707.3425
dc.identifierhttp://arxiv.org/abs/0707.3425
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134861
dc.subjectFunctional Analysis
dc.subject47B33 (primary), 32A17 (secondary)
dc.titleNorms and spectral radii of linear fractional composition operators on the ball
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