Nevanlinna-Pick interpolation for $C+BH^\infty$

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dc.creatorRaghupathi, Mrinal
dc.date2008-03-09
dc.date2008-09-21
dc.date.accessioned2026-07-07T10:03:52Z
dc.date.available2026-07-07T10:03:52Z
dc.descriptionGiven an inner function $B$ we classify the invariant subspaces of the algebra $H^\infty_B:=\mathbb{C}+BH^\infty$. We derive a formula in terms of these invariant subspaces for the distance of an element in $L^\infty$ to a certain weak*-closed ideal in $H^\infty_B$ and use this to prove an analogue of the Nevanlinna-Pick interpolation theorem.
dc.description19 pages, no figures
dc.identifierhttps://arxiv.org/abs/0803.1278
dc.identifierhttp://arxiv.org/abs/0803.1278
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169452
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject47A57; 46E22
dc.titleNevanlinna-Pick interpolation for $C+BH^\infty$
dc.typetext

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