A Constrained Nevanlinna-Pick Interpolation Problem

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dc.creatorDavidson, Kenneth R.
dc.creatorPaulsen, Vern I.
dc.creatorRaghupathi, Mrinal
dc.creatorSingh, Dinesh
dc.date2007-11-13
dc.date.accessioned2026-07-07T08:42:40Z
dc.date.available2026-07-07T08:42:40Z
dc.descriptionWe obtain necessary and sufficient conditions for Nevanlinna-Pick interpolation on the unit disk with the additional restriction that all analytic interpolating functions satisfy $f'(0)=0.$ Alternatively, these results can be interpreted as interpolation results for $H^{\infty}(V),$ where $V$ is the intersection of the bidisk with an algebraic variety. We use an analysis of C*-envelopes to show that these same conditions do not suffice for matrix interpolation.
dc.identifierhttps://arxiv.org/abs/0711.2032
dc.identifierhttp://arxiv.org/abs/0711.2032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142043
dc.subjectOperator Algebras
dc.subject47A57
dc.titleA Constrained Nevanlinna-Pick Interpolation Problem
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