Commutator lifting inequalities and interpolation

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dc.creatorPopescu, Gelu
dc.date2003-10-06
dc.date.accessioned2026-07-07T05:01:40Z
dc.date.available2026-07-07T05:01:40Z
dc.descriptionIn this paper we obtain a multivariable commutator lifting inequality, which extends to several variables a recent result of Foias, Frazho, and Kaashoek. The inequality yields a multivariable lifting theorem generalizing the noncommutative commutant lifting theorem. This is used to solve new operator-valued interpolation problems of Schur-Caratheodory, Nevanlinna-Pick, and Sarason type on Fock spaces. Some consequences to norm constrained analytic interpolation in the unit ball of C^n are also considered.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/math/0310081
dc.identifierhttp://arxiv.org/abs/math/0310081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68759
dc.subjectFunctional Analysis
dc.subjectOperator Algebras
dc.subject47A57, 47A63 (Primary) 47A56, 47A20, 47B47 (Secondary)
dc.titleCommutator lifting inequalities and interpolation
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